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Chrysippus of Soli (; grc-gre, Χρύσιππος ὁ Σολεύς, ; ) was a
Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...
Stoic Stoic may refer to: * An adherent of Stoicism; one whose moral quality is associated with that school of philosophy * STOIC, a programming language * ''Stoic'' (film), a 2009 film by Uwe Boll * ''Stoic'' (mixtape), a 2012 mixtape by rapper T-Pain * ...
philosopher A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek th ...
. He was a native of
Soli, Cilicia Soli ( grc, Σόλοι, ''Sóloi''), often rendered Soli/Pompeiopolis ( grc, Πομπηϊούπολις), was an ancient city and port in Cilicia, 11 km west of Mersin in present-day Turkey. Geography Located in Southern Anatolia, on the ...
, but moved to
Athens Athens ( ; el, Αθήνα, Athína ; grc, Ἀθῆναι, Athênai (pl.) ) is both the capital and largest city of Greece. With a population close to four million, it is also the seventh largest city in the European Union. Athens dominates ...
as a young man, where he became a pupil of the Stoic philosopher
Cleanthes Cleanthes (; grc-gre, Κλεάνθης; c. 330 BC – c. 230 BC), of Assos, was a Greek Stoic philosopher and boxer who was the successor to Zeno of Citium as the second head ('' scholarch'') of the Stoic school in Athens. Originally a boxe ...
. When Cleanthes died, around 230 BC, Chrysippus became the third head of the Stoic school. A prolific writer, Chrysippus expanded the fundamental doctrines of Cleanthes' mentor
Zeno of Citium Zeno of Citium (; grc-x-koine, Ζήνων ὁ Κιτιεύς, ; c. 334 – c. 262 BC) was a Hellenistic philosopher from Citium (, ), Cyprus. Zeno was the founder of the Stoic school of philosophy, which he taught in Athens from about 300 B ...
, the founder and first head of the school, which earned him the title of the Second Founder of Stoicism. Chrysippus excelled in
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises ...
, the
theory of knowledge Epistemology (; ), or the theory of knowledge, is the branch of philosophy concerned with knowledge. Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics. Ep ...
,
ethics Ethics or moral philosophy is a branch of philosophy that "involves systematizing, defending, and recommending concepts of right and wrong behavior".''Internet Encyclopedia of Philosophy'' The field of ethics, along with aesthetics, concerns m ...
, and
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
. He created an original system of
propositional logic Propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals with propositions (which can be true or false) and relations b ...
in order to better understand the workings of the universe and role of humanity within it. He adhered to a
deterministic Determinism is a philosophical view, where all events are determined completely by previously existing causes. Deterministic theories throughout the history of philosophy have developed from diverse and sometimes overlapping motives and consi ...
view of
fate Destiny, sometimes referred to as fate (from Latin ''fatum'' "decree, prediction, destiny, fate"), is a predetermined course of events. It may be conceived as a predetermined future, whether in general or of an individual. Fate Although often ...
, but nevertheless sought a role for
personal freedom Civil liberties are guarantees and freedoms that governments commit not to abridge, either by constitution, legislation, or judicial interpretation, without due process. Though the scope of the term differs between countries, civil liberties ma ...
in thought and action. Ethics, he thought, depended on understanding the nature of the universe, and he taught a therapy of extirpating the unruly passions which depress and crush the soul. He initiated the success of Stoicism as one of the most influential philosophical movements for centuries in the
Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...
and
Roman Roman or Romans most often refers to: *Rome, the capital city of Italy *Ancient Rome, Roman civilization from 8th century BC to 5th century AD *Roman people, the people of ancient Rome *''Epistle to the Romans'', shortened to ''Romans'', a letter ...
world. Of his several written works, none have survived except as fragments. Recently, segments of some of his works were discovered among the
Herculaneum papyri The Herculaneum papyri are more than 1,800 papyri found in the Herculaneum Villa of the Papyri, in the 18th century, carbonized by the eruption of Mount Vesuvius in AD 79. The papyri, containing a number of Greek philosophical texts, come fro ...
.


Life

Of
Phoenicia Phoenicia () was an ancient thalassocratic civilization originating in the Levant region of the eastern Mediterranean, primarily located in modern Lebanon. The territory of the Phoenician city-states extended and shrank throughout their histor ...
n descent, Chrysippus was the son of Apollonius of Tarsus, and he was born at
Soli, Cilicia Soli ( grc, Σόλοι, ''Sóloi''), often rendered Soli/Pompeiopolis ( grc, Πομπηϊούπολις), was an ancient city and port in Cilicia, 11 km west of Mersin in present-day Turkey. Geography Located in Southern Anatolia, on the ...
. He was slight in stature,Diogenes Laërtius, vii. 182 and is reputed to have trained as a long-distance runner.Diogenes Laërtius, vii. 179 While still young, he lost his substantial inherited property when it was confiscated to the king's treasury. Chrysippus moved to
Athens Athens ( ; el, Αθήνα, Athína ; grc, Ἀθῆναι, Athênai (pl.) ) is both the capital and largest city of Greece. With a population close to four million, it is also the seventh largest city in the European Union. Athens dominates ...
, where he became the disciple of
Cleanthes Cleanthes (; grc-gre, Κλεάνθης; c. 330 BC – c. 230 BC), of Assos, was a Greek Stoic philosopher and boxer who was the successor to Zeno of Citium as the second head ('' scholarch'') of the Stoic school in Athens. Originally a boxe ...
, who was then the head (''
scholarch A scholarch ( grc, σχολάρχης, ''scholarchēs'') was the head of a school in ancient Greece. The term is especially remembered for its use to mean the heads of schools of philosophy, such as the Platonic Academy in ancient Athens. Its fir ...
'') of the Stoic school. He is believed to have attended the courses of
Arcesilaus Arcesilaus (; grc-gre, Ἀρκεσίλαος; 316/5–241/0 BC) was a Greek Hellenistic philosopher. He was the founder of Academic Skepticism and what is variously called the Second or Middle or New Academy – the phase of the Platonic Acad ...
and his successor
Lacydes Lacydes of Cyrene, Libya, Cyrene ( grc-gre, Λακύδης ὁ Κυρηναῖος), Academic skepticism, Academic Skeptic philosopher, was head of the Platonic Academy at Athens in succession to Arcesilaus from 241 BC. He was forced to resign c. ...
, in the
Platonic Academy The Academy (Ancient Greek: Ἀκαδημία) was founded by Plato in c. 387 BC in Classical Athens, Athens. Aristotle studied there for twenty years (367–347 BC) before founding his own school, the Lyceum (classical), Lyceum. The Academy ...
.Diogenes Laërtius, vii. 184 Chrysippus threw himself eagerly into the study of the Stoic system. His reputation for learning among his contemporaries was considerable. He was noted for intellectual audacity and self-confidence and his reliance on his own ability was shown, among other things, in the request he is supposed to have made to Cleanthes: "Give me the principles, and I will find the proofs myself." He succeeded Cleanthes as head of the Stoic school when Cleanthes died, in around 230 BC. Chrysippus was a prolific writer. He is said to rarely have gone without writing 500 lines a dayDiogenes Laërtius, vii. 181 and he composed more than 705 works.Diogenes Laërtius, vii. 180 His desire to be comprehensive meant that he would take both sides of an argument and his opponents accused him of filling his books with the quotations of others. He was considered diffuse and obscure in his utterances and careless in his style, but his abilities were highly regarded, and he came to be seen as a preeminent authority for the school. He died during the 143rd
Olympiad An olympiad ( el, Ὀλυμπιάς, ''Olympiás'') is a period of four years, particularly those associated with the ancient and modern Olympic Games. Although the ancient Olympics were established during Greece's Archaic Era, it was not until ...
(208–204 BC) at the age of 73. Diogenes Laërtius gives two different accounts of his death.Diogenes Laërtius, vii. 185 In the first account, Chrysippus was seized with dizziness having drunk undiluted
wine Wine is an alcoholic drink typically made from fermented grapes. Yeast consumes the sugar in the grapes and converts it to ethanol and carbon dioxide, releasing heat in the process. Different varieties of grapes and strains of yeasts are m ...
at a feast, and died soon after. In the second account, he was watching a donkey eat some
figs The fig is the edible fruit of ''Ficus carica'', a species of small tree in the flowering plant family Moraceae. Native to the Mediterranean and western Asia, it has been cultivated since ancient times and is now widely grown throughout the world ...
and cried out: "Now give the donkey a drink of pure wine to wash down the figs", whereupon he died in a fit of laughter. His nephew
Aristocreon Aristocreon ( grc-gre, Ἀριστοκρέων; fl. 200 BC) was a Stoic philosopher and the nephew of Chrysippus. Biography Aristocreon was a son of the sister of Chrysippus, and became his pupil. Chrysippus dedicated several of his works to him. ...
erected a statue in his honour in the
Kerameikos Kerameikos (, ) also known by its Latinized form Ceramicus, is an area of Athens, Greece, located to the northwest of the Acropolis, which includes an extensive area both within and outside the ancient city walls, on both sides of the Dipylon ...
. Chrysippus was succeeded as head of the Stoic school by his pupil
Zeno of Tarsus Zeno of Tarsus ( grc-gre, Ζήνων ὁ Ταρσεύς, ''Zenon ho Tarseus''; fl. 200 BC) was a Stoic philosopher and the son of Dioscorides. Biography Zeno was a pupil of Chrysippus, and when Chrysippus died c. 206 BC, he succeeded him to b ...
. Of his written works, none survived except as fragments quoted in the works of later authors like
Cicero Marcus Tullius Cicero ( ; ; 3 January 106 BC – 7 December 43 BC) was a Roman statesman, lawyer, scholar, philosopher, and academic skeptic, who tried to uphold optimate principles during the political crises that led to the estab ...
,
Seneca Seneca may refer to: People and language * Seneca (name), a list of people with either the given name or surname * Seneca people, one of the six Iroquois tribes of North America ** Seneca language, the language of the Seneca people Places Extrat ...
,
Galen Aelius Galenus or Claudius Galenus ( el, Κλαύδιος Γαληνός; September 129 – c. AD 216), often Anglicized as Galen () or Galen of Pergamon, was a Greek physician, surgeon and philosopher in the Roman Empire. Considered to be one of ...
,
Plutarch Plutarch (; grc-gre, Πλούταρχος, ''Ploútarchos''; ; – after AD 119) was a Greek Middle Platonist philosopher, historian, biographer, essayist, and priest at the Temple of Apollo in Delphi. He is known primarily for his ''P ...
, and others. Recently, segments from ''Logical Questions'' and ''On Providence'' were discovered among the
Herculaneum papyri The Herculaneum papyri are more than 1,800 papyri found in the Herculaneum Villa of the Papyri, in the 18th century, carbonized by the eruption of Mount Vesuvius in AD 79. The papyri, containing a number of Greek philosophical texts, come fro ...
. A third work by Chrysippus may also be among them.


Study

Chrysippus had a long and successful career of resisting the attacks of the
Academy An academy ( Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy ...
"Chrysippus",
J. O. Urmson James Opie Urmson (4 March 1915 – 29 January 2012), was a philosopher and classicist who spent most of his professional career at Corpus Christi College, Oxford. He was a prolific author and expert on a number of topics including British anal ...
,
Jonathan Rée Jonathan Rée (born 1948) is a British freelance historian and philosopher from Bradford. Educated at Sussex University and then at Oxford, Rée was previously a professor of philosophy at Middlesex University, but gave up a teaching career in orde ...
, ''The Concise Encyclopedia of Western Philosophy'', 2005, pp. 73–74 of 398 pp.
and hoped not simply to defend Stoicism against the assaults of the past, but also against all possible attack in the future. He took the doctrines of Zeno and Cleanthes and crystallized them into what became the definitive system of
Stoicism Stoicism is a school of Hellenistic philosophy founded by Zeno of Citium in Athens in the early 3rd century Common Era, BCE. It is a philosophy of personal virtue ethics informed by its system of logic and its views on the natural world, asser ...
. He elaborated the physical doctrines of the Stoics and their
theory of knowledge Epistemology (; ), or the theory of knowledge, is the branch of philosophy concerned with knowledge. Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics. Ep ...
and he created much of their formal logic. In short, Chrysippus made the Stoic system what it was. It was said that "without Chrysippus, there would have been no Stoa".


Logic

Chrysippus wrote much on the subject of logic and created a system of
propositional logic Propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals with propositions (which can be true or false) and relations b ...
.
Aristotle Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of phil ...
's
term logic In philosophy, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, ...
had been concerned with the interrelations of terms such as "Socrates" or "man" ("all men are mortal, Socrates is a man, so Socrates is mortal"). Stoic logic, on the other hand, was concerned with the interrelations of
proposition In logic and linguistics, a proposition is the meaning of a declarative sentence. In philosophy, " meaning" is understood to be a non-linguistic entity which is shared by all sentences with the same meaning. Equivalently, a proposition is the no ...
s such as "it is day" ("if it is day, it is light: but it is day: so it is light"). Though the earlier Megarian dialecticians – 
Diodorus Cronus Diodorus Cronus ( el, Διόδωρος Κρόνος; died c. 284 BC) was a Greek philosopher and dialectician connected to the Megarian school. He was most notable for logic innovations, including his master argument formulated in response to A ...
and
Philo Philo of Alexandria (; grc, Φίλων, Phílōn; he, יְדִידְיָה, Yəḏīḏyāh (Jedediah); ), also called Philo Judaeus, was a Hellenistic Jewish philosopher who lived in Alexandria, in the Roman province of Egypt. Philo's de ...
 – had worked in this field and the pupils of
Aristotle Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of phil ...
– 
Theophrastus Theophrastus (; grc-gre, Θεόφραστος ; c. 371c. 287 BC), a Greek philosopher and the successor to Aristotle in the Peripatetic school. He was a native of Eresos in Lesbos.Gavin Hardy and Laurence Totelin, ''Ancient Botany'', Routledge ...
and Eudemus – had investigated
hypothetical syllogism In classical logic, a hypothetical syllogism is a valid argument form, a syllogism with a conditional statement for one or both of its premises. An example in English: :If I do not wake up, then I cannot go to work. :If I cannot go to work, then ...
s, it was Chrysippus who developed these principles into a coherent system of propositional logic.


Propositions

Chrysippus defined a proposition as "that which is capable of being denied or affirmed as it is in itself" and gave examples of propositions such as "it is day" and "Dion is walking." He distinguished between simple and non-simple propositions, which in modern terminology are known as atomic and molecular propositions. A simple proposition is an elementary statement such as "it is day." Simple propositions are linked together to form non-simple propositions by the use of
logical connective In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a logical constant. They can be used to connect logical formulas. For instance in the syntax of propositional logic, the binary co ...
s. Chrysippus enumerated five kinds of molecular propositions according to the connective used: Thus several types of molecular propositions, familiar to modern logic, were listed by Chrysippus, including the
conjunction Conjunction may refer to: * Conjunction (grammar), a part of speech * Logical conjunction, a mathematical operator ** Conjunction introduction, a rule of inference of propositional logic * Conjunction (astronomy), in which two astronomical bodies ...
, the
disjunction In logic, disjunction is a logical connective typically notated as \lor and read aloud as "or". For instance, the English language sentence "it is raining or it is snowing" can be represented in logic using the disjunctive formula R \lor S ...
, and the conditional, and Chrysippus studied their criteria of
truth Truth is the property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth 2005 In everyday language, truth is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as beliefs ...
closely.


Conditional propositions

The first logicians to debate conditional statements were
Diodorus Cronus Diodorus Cronus ( el, Διόδωρος Κρόνος; died c. 284 BC) was a Greek philosopher and dialectician connected to the Megarian school. He was most notable for logic innovations, including his master argument formulated in response to A ...
and his pupil
Philo Philo of Alexandria (; grc, Φίλων, Phílōn; he, יְדִידְיָה, Yəḏīḏyāh (Jedediah); ), also called Philo Judaeus, was a Hellenistic Jewish philosopher who lived in Alexandria, in the Roman province of Egypt. Philo's de ...
. Writing five-hundred years later,
Sextus Empiricus Sextus Empiricus ( grc-gre, Σέξτος Ἐμπειρικός, ; ) was a Greek Pyrrhonist philosopher and Empiric school physician. His philosophical works are the most complete surviving account of ancient Greek and Roman Pyrrhonism, and bec ...
refers to a debate between Diodorus and Philo.
Sextus Empiricus Sextus Empiricus ( grc-gre, Σέξτος Ἐμπειρικός, ; ) was a Greek Pyrrhonist philosopher and Empiric school physician. His philosophical works are the most complete surviving account of ancient Greek and Roman Pyrrhonism, and bec ...
, ''Pyr. Hyp.'' ii. 110–112; ''Adv. Math.'' viii. 112–117
Philo regarded all conditionals as true except those which with a correct antecedent had an incorrect
consequent A consequent is the second half of a hypothetical proposition. In the standard form of such a proposition, it is the part that follows "then". In an implication, if ''P'' implies ''Q'', then ''P'' is called the antecedent and ''Q'' is called ...
, and this meant a proposition such as "if it is day, then I am talking," is true unless it is day and I fall silent.Sextus Empiricus, ''Pyr. Hyp.'', ii. 110–112 But Diodorus argued that a true conditional is one in which the antecedent clause could never lead to an untrue conclusionthus, because the proposition "if it is day, then I am talking" can be false, it is invalid. However, paradoxical propositions were still possible such as "if atomic elements of things do not exist, atomic elements exists." Chrysippus adopted a much stricter view regarding conditional propositions, which made such paradoxes impossible: to him, a conditional is true if denial of the consequent is logically incompatible with the antecedent. This corresponds to the modern-day
strict conditional In logic, a strict conditional (symbol: \Box, or ⥽) is a conditional governed by a modal operator, that is, a logical connective of modal logic. It is logically equivalent to the material conditional of classical logic, combined with the necess ...
.


Syllogistic

Chrysippus developed a syllogistic or system of deduction in which he made use of five types of basic arguments or argument forms called indemonstrable syllogisms, which played the role of axioms, and four
inference rules In the philosophy of logic, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions). For example, the rule of i ...
, called ''themata'' by means of which complex syllogisms could be reduced to these axioms. The forms of the five indemonstrables were: Of the four inference rules, only two survived. One, the so-called first ''thema'', was a rule of antilogism. The other, the third ''thema'', was a cut rule by which chain syllogisms could be reduced to simple syllogisms. The purpose of Stoic syllogistic was not merely to create a formal system. It was also understood as the study of the operations of reason, the divine reason (''
logos ''Logos'' (, ; grc, λόγος, lógos, lit=word, discourse, or reason) is a term used in Western philosophy, psychology and rhetoric and refers to the appeal to reason that relies on logic or reason, inductive and deductive reasoning. Ari ...
'') which governs the
universe The universe is all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang theory is the prevailing cosmological description of the development of the universe. Acc ...
, of which human beings are a part. The goal was to find valid rules of inference and forms of proof to help people find their way in life. According to Sextus Empiricus, Chrysippus held that dogs use disjunctive syllogism, such as when using scent to pick which path to run down. This was in contrast to a tradition since Aristotle, who saw reasoning (and reasoning deductively) as man's defining aspect.


Other logical work

Chrysippus analyzed speech and the handling of names and terms. He also devoted much effort in refuting fallacies and paradoxes. According to Diogenes Laërtius, Chrysippus wrote twelve works in 23 books on the
Liar paradox In philosophy and logic, the classical liar paradox or liar's paradox or antinomy of the liar is the statement of a liar that they are lying: for instance, declaring that "I am lying". If the liar is indeed lying, then the liar is telling the truth ...
; seven works in 17 books on
amphiboly Syntactic ambiguity, also called structural ambiguity, amphiboly or amphibology, is a situation where a sentence may be interpreted in more than one way due to ambiguous sentence structure. Syntactic ambiguity arises not from the range of mean ...
; and another nine works in 26 books on other conundrums. In all, 28 works or 66 books were given over to puzzles or paradoxes. Chrysippus is the first Stoic for whom the third of the four
Stoic categories Stoic categories are Stoic ideas regarding categories of being: the most fundamental classes of being for all things. The Stoics believed there were four categories (substance, quality, disposition, relative disposition) which were the ultimate di ...
, i.e. the category ''somehow disposed'' is attested. In the surviving evidence, Chrysippus frequently makes use of the categories of ''substance'' and ''quality'', but makes little use of the other two Stoic categories (''somehow disposed'' and ''somehow disposed in relation to something''). It is not clear whether the categories had any special significance for Chrysippus, and a clear doctrine of categories may be the work of later Stoics.


Later reception

Chrysippus came to be renowned as one of the foremost logicians of ancient Greece. When
Clement of Alexandria Titus Flavius Clemens, also known as Clement of Alexandria ( grc , Κλήμης ὁ Ἀλεξανδρεύς; – ), was a Christian theologian and philosopher who taught at the Catechetical School of Alexandria. Among his pupils were Origen and ...
wanted to mention one who was master among logicians, as
Homer Homer (; grc, Ὅμηρος , ''Hómēros'') (born ) was a Greek poet who is credited as the author of the ''Iliad'' and the ''Odyssey'', two epic poems that are foundational works of ancient Greek literature. Homer is considered one of the ...
was master among
poet A poet is a person who studies and creates poetry. Poets may describe themselves as such or be described as such by others. A poet may simply be the creator ( thinker, songwriter, writer, or author) who creates (composes) poems (oral or writte ...
s, it was Chrysippus, not Aristotle, he chose. Diogenes Laërtius wrote: "If the gods use
dialectic Dialectic ( grc-gre, διαλεκτική, ''dialektikḗ''; related to dialogue; german: Dialektik), also known as the dialectical method, is a discourse between two or more people holding different points of view about a subject but wishing ...
, they would use none other than that of Chrysippus." The logical work by Chrysippus came to be neglected and forgotten. Aristotle's logic prevailed, partly because it was seen as more practical, and partly because it was taken up by the Neoplatonists. As recently as the 19th century, Stoic logic was treated with contempt, a barren formulaic system, which was merely clothing the logic of Aristotle with new terminology. It was not until the 20th century, with the advances in logic, and the modern
propositional calculus Propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals with propositions (which can be true or false) and relations ...
, that it became clear that Stoic logic constituted a significant achievement.


Epistemology

For the Stoics, truth is distinguished from error by the
sage Sage or SAGE may refer to: Plants * ''Salvia officinalis'', common sage, a small evergreen subshrub used as a culinary herb ** Lamiaceae, a family of flowering plants commonly known as the mint or deadnettle or sage family ** ''Salvia'', a large ...
who possesses right reason. Chrysippus's theory of knowledge was
empirical Empirical evidence for a proposition is evidence, i.e. what supports or counters this proposition, that is constituted by or accessible to sense experience or experimental procedure. Empirical evidence is of central importance to the sciences and ...
. The
sense A sense is a biological system used by an organism for sensation, the process of gathering information about the world through the detection of Stimulus (physiology), stimuli. (For example, in the human body, the brain which is part of the cen ...
s transmit messages from the external world, and their reports are controlled not by referring them to innate ideas, but by comparing them to previous reports stored in the mind. Zeno had defined impressions of sense as "an impression in the soul" and this was interpreted literally by Cleanthes, who compared the impression on the soul to the impression made by a
seal Seal may refer to any of the following: Common uses * Pinniped, a diverse group of semi-aquatic marine mammals, many of which are commonly called seals, particularly: ** Earless seal, or "true seal" ** Fur seal * Seal (emblem), a device to impr ...
on wax. Chrysippus preferred to regard it as an alteration or change in the soul; that is, the soul receives a modification from every external object that acts upon it, just as the air receives countless strokes when many people are speaking at once. In the receipt of an impression, the soul is purely passive and the impression reveals not only its own existence, but that also of its causejust as light displays itself and the elements that are in it. The power to name the object resides in the understanding. First must come the impression, and the understandinghaving the power of utteranceexpresses in speech the affection it receives from the object. True presentations are distinguished from those that are false by the use of memory, classification and comparison. If the sense organ and the mind are healthyand provided that an external object can be really seen or heardthe presentation, due to its clearness and distinctness, has the power to
extort Extortion is the practice of obtaining benefit through coercion. In most jurisdictions it is likely to constitute a criminal offence; the bulk of this article deals with such cases. Robbery is the simplest and most common form of extortion, al ...
the assent that always lies in our power, to give or to withhold. In a context in which people are understood to be
rational Rationality is the quality of being guided by or based on reasons. In this regard, a person acts rationally if they have a good reason for what they do or a belief is rational if it is based on strong evidence. This quality can apply to an abi ...
beings, reason is developed out of these notions.


Physics

Chrysippus insisted on the organic unity of the
universe The universe is all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang theory is the prevailing cosmological description of the development of the universe. Acc ...
, as well as the
correlation In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics ...
and mutual interdependence of all of its parts. He said, the universe is "the soul and guide of itself." Following Zeno, Chrysippus determined fiery breath or aether to be the primitive substance of the universe. Objects are made up of inert formless matter and an informing soul, "''
pneuma ''Pneuma'' () is an ancient Greek word for "breath", and in a religious context for " spirit" or "soul". It has various technical meanings for medical writers and philosophers of classical antiquity, particularly in regard to physiology, and is ...
''", provides form to the undifferentiated matter. The ''pneuma'' pervades all of substance and maintains the unity of the universe and constitutes the
soul In many religious and philosophical traditions, there is a belief that a soul is "the immaterial aspect or essence of a human being". Etymology The Modern English noun ''soul'' is derived from Old English ''sāwol, sāwel''. The earliest attes ...
of the human being. The
classical elements Classical elements typically refer to earth, water, air, fire, and (later) aether which were proposed to explain the nature and complexity of all matter in terms of simpler substances. Ancient cultures in Greece, Tibet, and India had simi ...
change into one another by a process of
condensation Condensation is the change of the state of matter from the gas phase into the liquid phase, and is the reverse of vaporization. The word most often refers to the water cycle. It can also be defined as the change in the state of water vapor to ...
and rarefaction.
Fire Fire is the rapid oxidation of a material (the fuel) in the exothermic chemical process of combustion, releasing heat, light, and various reaction Product (chemistry), products. At a certain point in the combustion reaction, called the ignition ...
first becomes solidified into
air The atmosphere of Earth is the layer of gases, known collectively as air, retained by Earth's gravity that surrounds the planet and forms its planetary atmosphere. The atmosphere of Earth protects life on Earth by creating pressure allowing f ...
; then air into
water Water (chemical formula ) is an inorganic, transparent, tasteless, odorless, and nearly colorless chemical substance, which is the main constituent of Earth's hydrosphere and the fluids of all known living organisms (in which it acts as a ...
; and lastly, water into
earth Earth is the third planet from the Sun and the only astronomical object known to harbor life. While large volumes of water can be found throughout the Solar System, only Earth sustains liquid surface water. About 71% of Earth's surfa ...
. The process of dissolution takes place in the reverse order: earth being rarefied into water, water into air and air into fire. The human soul was divided by Chrysippus into eight faculties: the five senses, the power of
reproduction Reproduction (or procreation or breeding) is the biological process by which new individual organisms – "offspring" – are produced from their "parent" or parents. Reproduction is a fundamental feature of all known life; each individual or ...
, the power of
speech Speech is a human vocal communication using language. Each language uses Phonetics, phonetic combinations of vowel and consonant sounds that form the sound of its words (that is, all English words sound different from all French words, even if ...
, and the "ruling part" that is located in the chest rather than the head. Individual souls are perishable; but, according to the view originated by Chrysippus, the souls of wise people survive longer after their death. No individual soul can, however, survive beyond the periodic conflagration, when the universe is renewed. There were no universals or abstract objects for Chrysippus, making him a kind of nominalist.


Fate

For Chrysippus, all things happen according to
fate Destiny, sometimes referred to as fate (from Latin ''fatum'' "decree, prediction, destiny, fate"), is a predetermined course of events. It may be conceived as a predetermined future, whether in general or of an individual. Fate Although often ...
: what seems to be accidental has always some hidden cause. The unity of the world consists in the chain-like dependence of cause upon cause. Nothing can take place without a sufficient cause. According to Chrysippus, every proposition is either true or false, and this must apply to future events as well:
If any motion exists without a cause, then not every proposition will be either true or false. For that which has not efficient causes is neither true nor false. But every proposition is either true or false. Therefore, there is no motion without a cause. And if this is so, then all effects owe their existence to prior causes. And if this is so, all things happen by fate. It follows therefore that whatever happens, happens by fate.
The Stoic view of fate is entirely based on a view of the universe as a whole. Individual things and persons only come into consideration as dependent parts of this whole. Everything is, in every respect, determined by this relation, and is consequently subject to the general order of the world. If his opponents objected that, if everything is determined by destiny, there is no individual responsibility, since what has been once foreordained must happen, come what may, Chrysippus replied that there is a distinction to be made between simple and complex predestination. Becoming ill may be fated whatever happens but, if a person's recovery is linked to consulting a doctor, then consulting the doctor is fated to occur together with that person's recovery, and this becomes a complex fact. referencing
Cicero Marcus Tullius Cicero ( ; ; 3 January 106 BC – 7 December 43 BC) was a Roman statesman, lawyer, scholar, philosopher, and academic skeptic, who tried to uphold optimate principles during the political crises that led to the estab ...
, ''On Fate'', 28–29
All human actionsin fact, our destinyare decided by our relation to things, or as Chrysippus put it, events are "co-fated" to occur:
The non-destruction of one's coat, he says, is not fated simply, but co-fated with its being taken care of, and someone's being saved from his enemies is co-fated with his fleeing those enemies; and having children is co-fated with being willing to lie with a woman. ... For many things cannot occur without our being willing and indeed contributing a most strenuous eagerness and zeal for these things, since, he says, it was fated for these things to occur in conjunction with this personal effort. ... But it will be in our power, he says, with what is in our power being included in fate.
Thus our actions are predetermined, and are causally related to the overarching network of fate, but nevertheless the moral responsibility of how we respond to impressions remains our own. The one all-determining power is active everywhere, working in each particular being according to its nature, whether in rational or irrational creatures or in inorganic objects. Every action is brought about by the co-operation of causes depending on the nature of things and the character of the agent. Our actions would only be involuntary if they were produced by external causes alone, without any co-operation, on the part of our wills, with external causes. Virtue and vice are set down as things in our power, for which, consequently, we are responsible. Moral responsibility depends only on freedom of the will, and what emanates from our will is our own, no matter whether it is possible for us to act differently or not. This rather subtle position which attempts to reconcile determinism with human responsibility is known as soft-determinism, or
compatibilism Compatibilism is the belief that free will and determinism are mutually compatible and that it is possible to believe in both without being logically inconsistent. Compatibilists believe that freedom can be present or absent in situations for re ...
.


Divination

Chrysippus also argued for the existence of fate based on
divination Divination (from Latin ''divinare'', 'to foresee, to foretell, to predict, to prophesy') is the attempt to gain insight into a question or situation by way of an occultic, standardized process or ritual. Used in various forms throughout histor ...
, which he thought there was good evidence for. It would not be possible for diviners to predict the future if the future itself was accidental. Omens and portents, he believed, are the natural symptoms of certain occurrences. There must be countless indications of the course of providence, for the most part unobserved, the meaning of only a few having become known to humanity. To those who argued that divination was superfluous as all events are foreordained, he replied that both divination and our behaviour under the warnings which it affords are included in the chain of causation.


God

The Stoics believed that the universe is
God In monotheism, monotheistic thought, God is usually viewed as the supreme being, creator deity, creator, and principal object of Faith#Religious views, faith.Richard Swinburne, Swinburne, R.G. "God" in Ted Honderich, Honderich, Ted. (ed)''The Ox ...
, and Chrysippus affirmed that "the universe itself is God and the universal outpouring of its soul."Cicero, ''De Natura Deorum'', i. 15 It is the guiding principle of the universe, "operating in mind and reason, together with the common nature of things and the totality which embraces all existence." Based on these beliefs, physicist and philosopher
Max Bernhard Weinstein Max Bernhard Weinstein (1 September 1852 in Kaunas, Vilna Governorate – 25 March 1918) was a German physicist and philosopher. He is best known as an opponent of Albert Einstein's Theory of Relativity, and for having written a broad examination ...
identified Chrysippus as a Pandeist. Chrysippus sought to prove the
existence of God The existence of God (or more generally, the existence of deities) is a subject of debate in theology, philosophy of religion and popular culture. A wide variety of arguments for and against the existence of God or deities can be categorize ...
, making use of a
teleological argument The teleological argument (from ; also known as physico-theological argument, argument from design, or intelligent design argument) is an argument for the existence of God or, more generally, that complex functionality in the natural world w ...
:
If there is anything that humanity cannot produce, the being who produces it is better than humanity. But humanity cannot produce the things that are in the universethe heavenly bodies, etc. The being, therefore, who produces them is superior to humanity. But who is there that is superior to humanity, except God? Therefore, God exists.
Chrysippus spoke of God and gods interchangeably. He interpreted the
gods A deity or god is a supernatural being who is considered divine or sacred. The ''Oxford Dictionary of English'' defines deity as a god or goddess, or anything revered as divine. C. Scott Littleton defines a deity as "a being with powers greater ...
of traditional Greek religion by viewing them as different aspects of the one reality.
Cicero Marcus Tullius Cicero ( ; ; 3 January 106 BC – 7 December 43 BC) was a Roman statesman, lawyer, scholar, philosopher, and academic skeptic, who tried to uphold optimate principles during the political crises that led to the estab ...
tells us that "he further maintained that aether is that which people call
Zeus Zeus or , , ; grc, Δῐός, ''Diós'', label=Genitive case, genitive Aeolic Greek, Boeotian Aeolic and Doric Greek#Laconian, Laconian grc-dor, Δεύς, Deús ; grc, Δέος, ''Déos'', label=Genitive case, genitive el, Δίας, ''D ...
, and that the air which permeates the seas is
Poseidon Poseidon (; grc-gre, Ποσειδῶν) was one of the Twelve Olympians in ancient Greek religion and myth, god of the sea, storms, earthquakes and horses.Burkert 1985pp. 136–139 In pre-Olympian Bronze Age Greece, he was venerated as a ch ...
, and that the earth is what is known by the name of
Demeter In ancient Greek religion and mythology, Demeter (; Attic: ''Dēmḗtēr'' ; Doric: ''Dāmā́tēr'') is the Olympian goddess of the harvest and agriculture, presiding over crops, grains, food, and the fertility of the earth. Although s ...
, and he treated in similar style the names of the other gods." In addition, the universe exists for the benefit of the universal god:
We should infer in the case of a beautiful dwelling-place that it was built for its owners and not for
mice A mouse ( : mice) is a small rodent. Characteristically, mice are known to have a pointed snout, small rounded ears, a body-length scaly tail, and a high breeding rate. The best known mouse species is the common house mouse (''Mus musculus' ...
; we ought, therefore, in the same way to regard the universe as the dwelling-place of the gods.Cicero, ''De Natura Deorum'', iii. 10


Theodicy

In response to the question of how
evil Evil, in a general sense, is defined as the opposite or absence of good. It can be an extremely broad concept, although in everyday usage it is often more narrowly used to talk about profound wickedness and against common good. It is general ...
could exist in a good universe, Chrysippus replied "evil cannot be removed, nor is it well that it should be removed." Firstly, he argued, following
Plato Plato ( ; grc-gre, Πλάτων ; 428/427 or 424/423 – 348/347 BC) was a Greek philosopher born in Athens during the Classical period in Ancient Greece. He founded the Platonist school of thought and the Academy, the first institution ...
, that it was impossible for good to exist without evil, for justice could not be known without injustice, courage without cowardice, temperance without intemperance or wisdom without foolishness.Aulus Gellius, vii. 1 Secondly, apparent evils exist as a consequent of nature's goodness, thus it was necessary for the human skull to be made from small and thin bones for reasons of utility, but this superior utility meant that the skull is vulnerable to blows. Thirdly, evils are distributed according to the rational will of Zeus, either to punish the wicked or because they are important to the world-order as a whole. Thus evil is good under disguise, and is ultimately conducive to the best. Chrysippus compared evil to the coarse jest in the
comedy Comedy is a genre of fiction that consists of discourses or works intended to be humorous or amusing by inducing laughter, especially in theatre, film, stand-up comedy, television, radio, books, or any other entertainment medium. The term o ...
; for, just as the jest, though offensive in itself, improves the piece as a whole, "so too you may criticize evil regarded by itself, yet allow that, taken with all else, it has its use."


Mathematics

Chrysippus regarded
bodies Bodies may refer to: * The plural of body * ''Bodies'' (2004 TV series), BBC television programme * Bodies (upcoming TV series), an upcoming British crime thriller limited series * "Bodies" (''Law & Order''), 2003 episode of ''Law & Order'' * ...
, surfaces,
lines Line most often refers to: * Line (geometry), object with zero thickness and curvature that stretches to infinity * Telephone line, a single-user circuit on a telephone communication system Line, lines, The Line, or LINE may also refer to: Arts ...
,
places Place may refer to: Geography * Place (United States Census Bureau), defined as any concentration of population ** Census-designated place, a populated area lacking its own municipal government * "Place", a type of street or road name ** Ofte ...
, the
void Void may refer to: Science, engineering, and technology * Void (astronomy), the spaces between galaxy filaments that contain no galaxies * Void (composites), a pore that remains unoccupied in a composite material * Void, synonym for vacuum, a ...
and
time Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future. It is a component quantity of various measurements used to sequence events, to ...
as all being
infinitely divisible Infinite divisibility arises in different ways in philosophy, physics, economics, order theory (a branch of mathematics), and probability theory (also a branch of mathematics). One may speak of infinite divisibility, or the lack thereof, of matter, ...
. He determined one of the principal features of the
infinite set In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. Properties The set of natural numbers (whose existence is postulated by the axiom of infinity) is infinite. It is the only set th ...
: since a man and a finger have an
infinite Infinite may refer to: Mathematics * Infinite set, a set that is not a finite set *Infinity, an abstract concept describing something without any limit Music *Infinite (group), a South Korean boy band *''Infinite'' (EP), debut EP of American m ...
number of parts as do the universe and a man, it cannot be said that a man has more parts than his finger, nor that the universe has more parts than a man. Chrysippus also responded to a problem first posed by
Democritus Democritus (; el, Δημόκριτος, ''Dēmókritos'', meaning "chosen of the people"; – ) was an Ancient Greek pre-Socratic philosopher from Abdera, primarily remembered today for his formulation of an atomic theory of the universe. No ...
. If a
cone A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines con ...
is divided by a
plane Plane(s) most often refers to: * Aero- or airplane, a powered, fixed-wing aircraft * Plane (geometry), a flat, 2-dimensional surface Plane or planes may also refer to: Biology * Plane (tree) or ''Platanus'', wetland native plant * ''Planes' ...
parallel to its base, are the surfaces of the segments equal or unequal? If they are equal, then the cone becomes a
cylinder A cylinder (from ) has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base. A cylinder may also be defined as an infin ...
; if they are unequal, then the surface of the cone must be stepped. The reply of Chrysippus was that the surfaces are both equal and unequal. Chrysippus was, in effect, negating the
law of excluded middle In logic, the law of excluded middle (or the principle of excluded middle) states that for every proposition, either this proposition or its negation is true. It is one of the so-called three laws of thought, along with the law of noncontradi ...
with respect to the equal and unequal, and thus he may have anticipated an important principle of modern
infinitesimal calculus Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithm ...
, namely, the
limit Limit or Limits may refer to: Arts and media * ''Limit'' (manga), a manga by Keiko Suenobu * ''Limit'' (film), a South Korean film * Limit (music), a way to characterize harmony * "Limit" (song), a 2016 single by Luna Sea * "Limits", a 2019 ...
and the process of convergence towards a limit. Chrysippus was notable for claiming that " one" is a
number A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers c ...
. One was not always considered a number by the ancient Greeks since they viewed one as that by which things are measured.
Aristotle Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of phil ...
in his ''
Metaphysics Metaphysics is the branch of philosophy that studies the fundamental nature of reality, the first principles of being, identity and change, space and time, causality, necessity, and possibility. It includes questions about the nature of conscio ...
'' wrote, "... a measure is not the things measured, but the measure or the One is the beginning of number." Chrysippus asserted that one had "magnitude one" ( el, πλῆθος ἕν), although this was not generally accepted by the Greeks, and
Iamblichus Iamblichus (; grc-gre, Ἰάμβλιχος ; Aramaic: 𐡉𐡌𐡋𐡊𐡅 ''Yamlīḵū''; ) was a Syrian neoplatonic philosopher of Arabic origin. He determined a direction later taken by neoplatonism. Iamblichus was also the biographer of ...
wrote that "magnitude one" was a contradiction in terms.


Ethics

Chrysippus taught that
ethics Ethics or moral philosophy is a branch of philosophy that "involves systematizing, defending, and recommending concepts of right and wrong behavior".''Internet Encyclopedia of Philosophy'' The field of ethics, along with aesthetics, concerns m ...
depended on physics. In his ''Physical Theses'', he stated: "for there is no other or more appropriate way of approaching the subject of good and evil on the virtues or happiness than from the nature of all things and the administration of the universe." The goal of life, said Chrysippus, is to live in accordance with one's experience of the actual course of nature. A person's individual nature is part of the nature of the whole universe,Diogenes Laërtius, vii. 87 and thus life should be lived in accordance with one's own human nature as well as that of the universe.Diogenes Laërtius, vii. 88 Human nature is ethical, and humanity is akin to the Divine, emanating from the primal fire or aether, which, though material, is the embodiment of reason; and people should conduct themselves accordingly. People have freedom, and this freedom consists in emancipation from irrational desires (lust, riches, position in life, domination, etc.) and in subjecting the will to reason. Chrysippus laid the greatest stress on the worth and dignity of the individual, and on the power of will. The Stoics admitted between the good and the bad a third class of thingsthe indifferent (''
adiaphora Adiaphoron (; plural: adiaphora; from the Greek (pl. ), meaning "not different or differentiable") is the negation of ''diaphora'', "difference". In Cynicism, adiaphora represents indifference to the s of life. In Pyrrhonism, it indicates thin ...
''). Of things morally indifferent, the best includes health, and riches, and honour, and the worst includes sickness and poverty. Chrysippus accepted that it was normal in ordinary usage to refer to the preferred indifferent things as "good", but the wise person, said Chrysippus, uses such things without requiring them. Practice and habit are necessary to render virtue perfect in the individualin other words, there is such a thing as moral progress, and character has to be built up.


''On Passions''

The Stoics sought to be free of the unruly emotions, which they regarded as being contrary to nature. The passions or emotions (''pathe'') are the disturbing element in right judgment. Chrysippus wrote a whole book, ''On Passions'' ( el, Περὶ παθῶν), concerning the therapy of the emotions. The passions are like diseases which depress and crush the soul, thus he sought to eradicate them ('' apatheia''). Wrong judgements turn into passions when they gather an impetus of their own, just as, when one has started running, it is difficult to stop. One cannot hope to eradicate the emotions when one is in the heat of love or anger: this can only be done when one is calm. Therefore, one should prepare in advance, and deal with the emotions in the mind as if they were present. By applying reason to emotions such as greed, pride, or lust, one can understand the harm which they cause.


See also

*
Apocatastasis In theology, apocatastasis () is the restoration of creation to a condition of perfection. In Christianity, it is a form of Christian universalism that includes the ultimate salvation of everyone—including the damned in hell and the devil. The ...
* Deixis *
History of logic The history of logic deals with the study of the development of the science of valid inference (logic). Formal logics developed in ancient times in India, China, and Greece. Greek methods, particularly Aristotelian logic (or term logic) as found ...
*
Lazy argument The Lazy Argument or Idle Argument ( grc, ἀργὸς λόγος) is an attempt to undermine the philosophical doctrine of fatalism by demonstrating that, if everything that happens is determined by fate, it is futile to take any kind of action. It ...
*
List of unusual deaths This list of unusual deaths includes unique or extremely rare circumstances of death recorded throughout history, noted as being unusual by multiple sources. Antiquity Middle Ages Renaissance Early modern period 19th centur ...


Notes


References


Works cited

* * * * * * * * * * * * * * * * * * * *


Further reading

* * Susanne Bobzien, (1999), ''Chrysippus' Theory of Causes''. In K. Ierodiakonou (ed.), ''Topics in Stoic Philosophy'', Oxford: OUP, 196–242. *
Émile Bréhier Émile Bréhier (; 12 April 1876, Bar-le-Duc – 3 February 1952, Paris) was a French philosopher. His interest was in classical philosophy, and the history of philosophy. He wrote a ''Histoire de la Philosophie'', translated into English in seven ...
, (1951), ''Chrysippe et l'ancien stoicisme''. Paris. * Richard Dufour, (2004), ''Chrysippe. Oeuvre philosophique''. Textes traduits et commentés par Richard Dufour, Paris: Les Belles Lettres, 2 volumes (logic and physics), * D. E. Hahm, ''Chrysippus' solution to the Democritean dilemma of the cone'', Isis 63 (217) (1972), 205–220. * H. A. Ide, ''Chrysippus's response to Diodorus's Master Argument'', History and Philosophy Logic 13 (2) (1992), 133–148. * Christoph Jedan (2009) ''Stoic Virtues: Chrysippus and the Theological Foundations of Stoic Ethics''. Continuum Studies in Ancient Philosophy. * Teun L. Tieleman (1996) ''Galen and Chrysippus on the Soul: Argument and Refutation in the "De Placitis" Books II–III''. Philosophia Antiqua. Brill. * Teun L. Tieleman (2003) ''Chrysippus' "on Affections": Reconstruction and Interpretation''. Philosophia Antiqua. Brill.


External links

* *
Early Stoic Logic: Zeno of Citium, Cleanthes of Assos, Chrysippus of Soli
an annotated bibliography on the logic of Chrysippus {{Use dmy dates, date=April 2017 270s BC births 200s BC deaths 3rd-century BC Greek people 3rd-century BC philosophers Ancient Greek mathematicians Ancient Greek ethicists Ancient Greek logicians Hellenistic-era philosophers from Anatolia Philosophical theists Stoic philosophers Deaths from laughter Phoenician philosophers 3rd-century BC mathematicians 3rd-century BC Phoenician people