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Minor Premise
A syllogism ( grc-gre, συλλογισμός, ''syllogismos'', 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true. In its earliest form (defined by Aristotle in his 350 BCE book '' Prior Analytics''), a syllogism arises when two true premises (propositions or statements) validly imply a conclusion, or the main point that the argument aims to get across. For example, knowing that all men are mortal (major premise) and that Socrates is a man (minor premise), we may validly conclude that Socrates is mortal. Syllogistic arguments are usually represented in a three-line form: All men are mortal. Socrates is a man. Therefore, Socrates is mortal.In antiquity, two rival syllogistic theories existed: Aristotelian syllogism and Stoic syllogism. From the Middle Ages onwards, ''categorical syllogism'' and ''syllogism'' were usually used interchangeably. This ...
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Socrates Louvre
Socrates (; ; –399 BC) was a Greek philosopher from Athens who is credited as the founder of Western philosophy and among the first moral philosophers of the ethical tradition of thought. An enigmatic figure, Socrates authored no texts and is known mainly through the posthumous accounts of classical writers, particularly his students Plato and Xenophon. These accounts are written as dialogues, in which Socrates and his interlocutors examine a subject in the style of question and answer; they gave rise to the Socratic dialogue literary genre. Contradictory accounts of Socrates make a reconstruction of his philosophy nearly impossible, a situation known as the Socratic problem. Socrates was a polarizing figure in Athenian society. In 399 BC, he was accused of impiety and corrupting the youth. After a trial that lasted a day, he was sentenced to death. He spent his last day in prison, refusing offers to help him escape. Plato's dialogues are among the most com ...
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Susanne Bobzien
Susanne Bobzien (born 1960) is a German-born philosopherWho'sWho in America 2012, 64th Edition whose research interests focus on philosophy of logic and language, determinism and freedom, and ancient philosophy. She currently is senior research fellow at All Souls College, Oxford and professor of philosophy at the University of Oxford. Early life Bobzien was born in Hamburg, Germany, in 1960. She graduated in 1985 with an M.A. at Bonn University, and in 1993 with a doctorate in philosophy (D.Phil.) at Oxford University, where from 1987–1989 she was affiliated with Somerville College. Academic career Bobzien currently holds the position of senior research fellow at All Souls College, Oxford and is professor of philosophy at Oxford University. She was appointed to a senior professorship in philosophy at Yale in 2001
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Jean Buridan
Jean Buridan (; Latin: ''Johannes Buridanus''; – ) was an influential 14th-century French philosopher. Buridan was a teacher in the faculty of arts at the University of Paris for his entire career who focused in particular on logic and the works of Aristotle. Buridan sowed the seeds of the Copernican Revolution in Europe. He developed the concept of impetus, the first step toward the modern concept of inertia and an important development in the history of medieval science. His name is most familiar through the thought experiment known as Buridan's ass, but the thought experiment does not appear in his extant writings. Life Education and career Buridan was born sometime before 1301, perhaps at or near the town of Béthune in Picardy, France,Zupko 2015, §1 or perhaps elsewhere in the diocese of Arras. He received his education in Paris, first at the Collège du Cardinal Lemoine and then at the University of Paris, receiving his Master of Arts degree and formal license to ...
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De Re
''De dicto'' and ''de re'' are two phrases used to mark a distinction in intensional statements, associated with the intensional operators in many such statements. The distinction is used regularly in metaphysics and in philosophy of language. The literal translation of the phrase "''de dicto''" is "about what is said", whereas ''de re'' translates as "about the thing". The original meaning of the Latin locutions may help to elucidate the living meaning of the phrases, in the distinctions they mark. The distinction can be understood by examples of intensional contexts of which three are considered here: a context of thought, a context of desire, and a context of modality. Context of thought There are two possible interpretations of the sentence "Peter believes someone is out to get him". On one interpretation, 'someone' is unspecific and Peter suffers a general paranoia; he believes that it is true that a person is out to get him, but does not necessarily have any beliefs about ...
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De Dicto
''De dicto'' and ''de re'' are two phrases used to mark a distinction in intensional statements, associated with the intensional operators in many such statements. The distinction is used regularly in metaphysics and in philosophy of language. The literal translation of the phrase "''de dicto''" is "about what is said", whereas ''de re'' translates as "about the thing". The original meaning of the Latin locutions may help to elucidate the living meaning of the phrases, in the distinctions they mark. The distinction can be understood by examples of intensional contexts of which three are considered here: a context of thought, a context of desire, and a context of modality. Context of thought There are two possible interpretations of the sentence "Peter believes someone is out to get him". On one interpretation, 'someone' is unspecific and Peter suffers a general paranoia; he believes that it is true that a person is out to get him, but does not necessarily have any beliefs about ...
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Peter Abelard
Peter Abelard (; french: link=no, Pierre Abélard; la, Petrus Abaelardus or ''Abailardus''; 21 April 1142) was a medieval French scholastic philosopher, leading logician, theologian, poet, composer and musician. This source has a detailed description of his philosophical work. In philosophy he is celebrated for his logical solution to the problem of universals via nominalism and conceptualism and his pioneering of intent in ethics. Often referred to as the " Descartes of the twelfth century", he is considered a forerunner of Rousseau, Kant, and Spinoza. He is sometimes credited as a chief forerunner of modern empiricism. In history and popular culture, he is best known for his passionate and tragic love affair, and intense philosophical exchange, with his brilliant student and eventual wife, Héloïse d'Argenteuil. He was a defender of women and of their education. After having sent Héloïse to a convent in Brittany to protect her from her abusive uncle who did not wa ...
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Boethius
Anicius Manlius Severinus Boethius, commonly known as Boethius (; Latin: ''Boetius''; 480 – 524 AD), was a Roman senator, consul, ''magister officiorum'', historian, and philosopher of the Early Middle Ages. He was a central figure in the translation of the Greek classics into Latin, a precursor to the Scholastic movement, and, along with Cassiodorus, one of the two leading Christian scholars of the 6th century. The local cult of Boethius in the Diocese of Pavia was sanctioned by the Sacred Congregation of Rites in 1883, confirming the diocese's custom of honouring him on the 23 October. Boethius was born in Rome a few years after the collapse of the Western Roman Empire. A member of the Anicii family, he was orphaned following the family's sudden decline and was raised by Quintus Aurelius Memmius Symmachus, a later consul. After mastering both Latin and Greek in his youth, Boethius rose to prominence as a statesman during the Ostrogothic Kingdom: becoming a senator by a ...
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Modal Logic
Modal logic is a collection of formal systems developed to represent statements about necessity and possibility. It plays a major role in philosophy of language, epistemology, metaphysics, and natural language semantics. Modal logics extend other systems by adding unary operators \Diamond and \Box, representing possibility and necessity respectively. For instance the modal formula \Diamond P can be read as "possibly P" while \Box P can be read as "necessarily P". Modal logics can be used to represent different phenomena depending on what kind of necessity and possibility is under consideration. When \Box is used to represent epistemic necessity, \Box P states that P is epistemically necessary, or in other words that it is known. When \Box is used to represent deontic necessity, \Box P states that P is a moral or legal obligation. In the standard relational semantics for modal logic, formulas are assigned truth values relative to a '' possible world''. A formula's truth value ...
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John Buridan
Jean Buridan (; Latin: ''Johannes Buridanus''; – ) was an influential 14th-century French philosopher. Buridan was a teacher in the faculty of arts at the University of Paris for his entire career who focused in particular on logic and the works of Aristotle. Buridan sowed the seeds of the Copernican Revolution in Europe. He developed the concept of impetus, the first step toward the modern concept of inertia and an important development in the history of medieval science. His name is most familiar through the thought experiment known as Buridan's ass, but the thought experiment does not appear in his extant writings. Life Education and career Buridan was born sometime before 1301, perhaps at or near the town of Béthune in Picardy, France,Zupko 2015, §1 or perhaps elsewhere in the diocese of Arras. He received his education in Paris, first at the Collège du Cardinal Lemoine and then at the University of Paris, receiving his Master of Arts degree and formal license to te ...
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Assertoric
An assertoric proposition in Aristotelian logic merely asserts that something is (or is not) the case, in contrast to problematic propositions which assert the possibility of something being true, or apodeictic propositions which assert things which are necessarily or self-evidently true or false. Kant contrasts "apodictic" with "problematic" and "assertoric" in the '' Critique of Pure Reason'', on page A70/B95. For instance, "Chicago is larger than Omaha" is assertoric. "A corporation could be wealthier than a country" is problematic. "Two plus two equals four" is apodeictic. Notes References * Antony Flew Antony Garrard Newton Flew (; 11 February 1923 – 8 April 2010) was a British philosopher. Belonging to the analytic and evidentialist schools of thought, Flew worked on the philosophy of religion. During the course of his career he taught at .... ''A Dictionary of Philosophy – Revised Second Edition'' St. Martin's Press, NY, 1979 External links * Modal log ...
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Logica Nova
In the history of logic, the term ''logica nova'' (Latin, meaning "new logic") refers to a subdivision of the logical tradition of Western Europe, as it existed around the middle of the twelfth century. The ''Logica vetus'' ("old logic") referred to works of Aristotle that had long been known and studied in the Latin West, whereas the ''Logica nova'' referred to forms of logic derived from Aristotle's works which had been unavailable until they were translated by James of Venice in the 12th century. Study of the ''Logica nova'' was part of the Renaissance of the 12th century. Overview The division of works was as follows: *''Logica vetus'' (sometimes ''ars vetus'') **The '' Categories'' **The '' De Interpretatione'' **The '' Isagoge'' of Porphyry **The ''Liber sex principiorum'', an anonymous commentary on the latter part of the ''Categories'' that has often been attributed to Gilbert de la Porrée *Sometimes included are works of Boethius **The ''De topicis differentiis'' **Th ...
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Logica Vetus
In the history of logic, the term ''logica nova'' (Latin, meaning "new logic") refers to a subdivision of the logical tradition of Western Europe, as it existed around the middle of the twelfth century. The ''Logica vetus'' ("old logic") referred to works of Aristotle that had long been known and studied in the Latin West, whereas the ''Logica nova'' referred to forms of logic derived from Aristotle's works which had been unavailable until they were translated by James of Venice in the 12th century. Study of the ''Logica nova'' was part of the Renaissance of the 12th century. Overview The division of works was as follows: *''Logica vetus'' (sometimes ''ars vetus'') **The '' Categories'' **The ''De Interpretatione'' **The ''Isagoge'' of Porphyry **The ''Liber sex principiorum'', an anonymous commentary on the latter part of the ''Categories'' that has often been attributed to Gilbert de la Porrée *Sometimes included are works of Boethius **The ''De topicis differentiis'' **The ...
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