("from the earlier") and ("from the later") are
Latin
Latin (, or , ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through ...
phrases used in
philosophy
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. S ...
to distinguish types of
knowledge
Knowledge can be defined as Descriptive knowledge, awareness of facts or as Procedural knowledge, practical skills, and may also refer to Knowledge by acquaintance, familiarity with objects or situations. Knowledge of facts, also called pro ...
,
justification, or
argument
An argument is a statement or group of statements called premises intended to determine the degree of truth or acceptability of another statement called conclusion. Arguments can be studied from three main perspectives: the logical, the dialecti ...
by their reliance on empirical evidence or experience. knowledge is independent from current
experience
Experience refers to conscious events in general, more specifically to perceptions, or to the practical knowledge and familiarity that is produced by these conscious processes. Understood as a conscious event in the widest sense, experience invol ...
(e.g., as part of a new study). Examples include
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
,
[Some associationist philosophers have contended that mathematics comes from experience and is not a form of any a priori knowledge ()] tautologies, and
deduction from
pure reason.
[ Galen Strawson has stated that an argument is one in which "you can see that it is true just lying on your couch. You don't have to get up off your couch and go outside and examine the way things are in the physical world. You don't have to do any science." ()] knowledge depends on
empirical evidence. Examples include most fields of
science
Science is a systematic endeavor that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
Science may be as old as the human species, and some of the earliest archeological evidence ...
and aspects of
personal knowledge.
The terms originate from the analytic methods found in ''
Organon
The ''Organon'' ( grc, Ὄργανον, meaning "instrument, tool, organ") is the standard collection of Aristotle's six works on logical analysis and dialectic. The name ''Organon'' was given by Aristotle's followers, the Peripatetics.
The six ...
'', a collection of works by
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 ...
.
Prior analytics
The ''Prior Analytics'' ( grc-gre, Ἀναλυτικὰ Πρότερα; la, Analytica Priora) is a work by Aristotle on reasoning, known as his syllogistic, composed around 350 BCE. Being one of the six extant Aristotelian writings on logic ...
() is about
deductive logic, which comes from definitions and first principles.
Posterior analytics
The ''Posterior Analytics'' ( grc-gre, Ἀναλυτικὰ Ὕστερα; la, Analytica Posteriora) is a text from Aristotle's '' Organon'' that deals with demonstration, definition, and scientific knowledge. The demonstration is distinguishe ...
() is about
inductive logic
Inductive reasoning is a method of reasoning in which a general principle is derived from a body of observations. It consists of making broad generalizations based on specific observations. Inductive reasoning is distinct from ''deductive'' rea ...
, which comes from observational evidence.
Both terms appear in
Euclid
Euclid (; grc-gre, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of ...
's ''
Elements'' and were popularized by
Immanuel Kant
Immanuel Kant (, , ; 22 April 1724 – 12 February 1804) was a German philosopher and one of the central Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works in epistemology, metaphysics, ethics, and ...
's ''
Critique of Pure Reason'', an influential work in the
history of philosophy
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. Some ...
. Both terms are primarily used as
modifiers to the
noun
A noun () is a word that generally functions as the name of a specific object or set of objects, such as living creatures, places, actions, qualities, states of existence, or ideas.Example nouns for:
* Living creatures (including people, alive, ...
"knowledge" (i.e. " knowledge"). can be used to modify other nouns such as "truth". Philosophers may use ''apriority'', ''apriorist'', and ''aprioricity'' as nouns referring to the quality of being .
Examples
''A priori''
Consider the
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 ...
: "If
George V
George V (George Frederick Ernest Albert; 3 June 1865 – 20 January 1936) was King of the United Kingdom and the British Dominions, and Emperor of India, from 6 May 1910 until his death in 1936.
Born during the reign of his grandmother Que ...
reigned at least four days, then he reigned more than three days." This is something that one knows ''a priori'' because it expresses a statement that one can derive by reason alone.
''A posteriori''
Consider the proposition: "George V reigned from 1910 to 1936." This is something that (if true) one must come to know ''a posteriori'' because it expresses an empirical fact unknowable by reason alone.
Aprioricity, analyticity, and necessity
Relation to the analytic-synthetic
Several philosophers, in reaction to
Immanuel Kant
Immanuel Kant (, , ; 22 April 1724 – 12 February 1804) was a German philosopher and one of the central Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works in epistemology, metaphysics, ethics, and ...
, sought to explain ''a priori'' knowledge without appealing to, as
Paul Boghossian
Paul Artin Boghossian (; born 1957) is an American philosopher. He is Silver Professor of Philosophy at New York University, where he is chair of the department (having also held the position from 1994 to 2004). His research interests include ...
explains, "a special faculty
ntutionthat has never been described in satisfactory terms."
One theory, popular among the
logical positivists
Logical positivism, later called logical empiricism, and both of which together are also known as neopositivism, is a movement in Western philosophy whose central thesis was the verification principle (also known as the verifiability criterion ...
of the early 20th century, is what Boghossian calls the "analytic explanation of the a priori."
The distinction between
analytic and synthetic propositions was first introduced by Kant. While his original distinction was primarily drawn in terms of conceptual containment, the contemporary version of such distinction primarily involves, as American philosopher
W. V. O. Quine put it, the notions of "true by virtue of meanings and independently of fact."
Analytic propositions are thought to be true in virtue of their meaning alone, while ''a posteriori'' propositions are thought to be true in virtue of their meaning ''and'' of certain facts about the world. According to the analytic explanation of the ''a priori'', all ''a priori'' knowledge is analytic; so ''a priori'' knowledge need not require a special faculty of pure
intuition
Intuition is the ability to acquire knowledge without recourse to conscious reasoning. Different fields use the word "intuition" in very different ways, including but not limited to: direct access to unconscious knowledge; unconscious cognition ...
, since it can be accounted for simply by one's ability to understand the meaning of the proposition in question. More simply, proponents of this explanation claimed to have reduced a dubious
metaphysical faculty of pure reason to a legitimate linguistic notion of analyticity.
The analytic explanation of ''a priori'' knowledge has undergone several criticisms. Most notably, Quine argues that the analytic–synthetic distinction is illegitimate:
But for all its a priori reasonableness, a boundary between analytic and synthetic statements simply has not been drawn. That there is such a distinction to be drawn at all is an unempirical dogma of empiricists, a metaphysical article of faith.
While the soundness of Quine's critique is highly disputed, it had a powerful effect on the project of explaining the ''a priori'' in terms of the analytic.
Relation to the necessary truths and contingent truths
The metaphysical distinction between ''necessary'' and ''contingent'' truths has also been related to ''a priori'' and ''a posteriori'' knowledge.
A proposition that is
necessarily true is one in which its negation is self-contradictory. Furthermore, it is said to be true in every
possible world. For example, considering the proposition "all bachelors are unmarried:" its negation (i.e. the proposition that some bachelors are married) is incoherent due to the concept of being unmarried (or the meaning of the word "unmarried") being tied to part of the concept of being a bachelor (or part of the definition of the word "bachelor"). To the extent that contradictions are impossible, self-contradictory propositions are necessarily false as it is impossible for them to be true. The negation of a self-contradictory proposition is, therefore, supposed to be necessarily true.
By contrast, a proposition that is contingently true is one in which its negation is not self-contradictory. Thus, it is said ''not'' to be true in every possible world. As Jason Baehr suggests, it seems plausible that all necessary propositions are known ''a priori'', because "
nse experience can tell us only about the actual world and hence about what is the case; it can say nothing about what must or must not be the case."
Following Kant, some philosophers have considered the relationship between ''aprioricity'', ''analyticity'', and ''necessity'' to be extremely close. According to
Jerry Fodor, "
positivism
Positivism is an empiricist philosophical theory that holds that all genuine knowledge is either true by definition or positive—meaning ''a posteriori'' facts derived by reason and logic from sensory experience.John J. Macionis, Linda M. ...
, in particular, took it for granted that ''a priori'' truths must be necessary." However, since Kant, the distinction between analytic and synthetic propositions has slightly changed.
Analytic propositions were largely taken to be "true by virtue of meanings and independently of fact,"
[ while synthetic propositions were not—one must conduct some sort of empirical investigation, looking to the world, to determine the truth-value of synthetic propositions.
]
Aprioricity, analyticity and necessity
Aprioricity, analyticity, and necessity have since been more clearly separated from each other. American philosopher Saul Kripke (1972), for example, provides strong arguments against this position, whereby he contends that there are necessary ''a posteriori'' truths. For example, the proposition that water is H2O (if it is true): According to Kripke, this statement is both ''necessarily true'', because water and H2O are the same thing, they are identical in every possible world, and truths of identity are logically necessary; and ''a posteriori'', because it is known only through empirical investigation. Following such considerations of Kripke and others (see Hilary Putnam
Hilary Whitehall Putnam (; July 31, 1926 – March 13, 2016) was an American philosopher, mathematician, and computer scientist, and a major figure in analytic philosophy in the second half of the 20th century. He made significant contributions ...
), philosophers tend to distinguish the notion of aprioricity more clearly from that of necessity and analyticity.
Kripke's definitions of these terms, however, diverge in subtle ways from those of Kant. Taking these differences into account, Kripke's controversial analysis of naming as contingent and ''a priori'' would, according to Stephen Palmquist, best fit into Kant's epistemological framework by calling it "analytic a posteriori."[In this pair of articles, Stephen Palmquist demonstrates that the context often determines how a particular proposition should be classified. A proposition that is synthetic ''a posteriori'' in one context might be analytic ''a priori'' in another. ()] Aaron Sloman presented a brief defence of Kant's three distinctions (analytic/synthetic, apriori/empirical, and necessary/contingent), in that it did not assume "possible world semantics" for the third distinction, merely that some part of ''this'' world might have been different.
The relationship between aprioricity, necessity, and analyticity is not found to be easy to discern. However, most philosophers at least seem to agree that while the various distinctions may overlap, the notions are clearly not identical: the ''a priori''/''a posteriori'' distinction is epistemological; the analytic/synthetic distinction is linguistic; and the necessary/contingent distinction is metaphysical.[, §2-3]
History
Early uses
The term ''a priori'' is Latin
Latin (, or , ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through ...
for 'from what comes before' (or, less literally, 'from first principles, before experience'). In contrast, the term ''a posteriori'' is Latin
Latin (, or , ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through ...
for 'from what comes later' (or 'after experience').
They appear in Latin translations of Euclid
Euclid (; grc-gre, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of ...
's '' Elements'', a work widely considered during the early European modern period as the model for precise thinking.
An early philosophical use of what might be considered a notion of ''a priori'' knowledge (though not called by that name) is 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 ...
's ''theory of recollection'', related in the dialogue '' Meno'', according to which something like ''a priori'' knowledge is knowledge inherent, intrinsic in the human mind.
Albert of Saxony, a 14th-century logician, wrote on both ''a priori'' and ''a posteriori''.
The early modern Thomistic philosopher John Sergeant differentiates the terms by the direction of inference regarding proper causes and effects. To demonstrate something ''a priori'' is to "Demonstrate Proper Effects from Proper Efficient Causes" and likewise to demonstrate ''a posteriori'' is to demonstrate "Proper Efficient Causes from Proper Effects", according to his 1696 work '' The Method to Science'' Book III, Lesson IV, Section 7.
G. W. Leibniz introduced a distinction between ''a priori'' and ''a posteriori'' criteria for the possibility of a notion in his (1684) short treatise "Meditations on Knowledge, Truth, and Ideas". ''A priori'' and ''a posteriori'' arguments for the existence of God appear in his ''Monadology
The ''Monadology'' (french: La Monadologie, 1714) is one of Gottfried Leibniz's best known works of his later philosophy. It is a short text which presents, in some 90 paragraphs, a metaphysics of simple substances, or '' monads''.
Text
D ...
'' (1714).
George Berkeley outlined the distinction in his 1710 work '' A Treatise Concerning the Principles of Human Knowledge'' (para. XXI).
Immanuel Kant
The 18th-century German philosopher Immanuel Kant
Immanuel Kant (, , ; 22 April 1724 – 12 February 1804) was a German philosopher and one of the central Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works in epistemology, metaphysics, ethics, and ...
(1781) advocated a blend of rationalist and empiricist theories. Kant says, "Although all our cognition begins with experience, it does not follow that it arises from s caused byexperience." According to Kant, ''a priori'' cognition is transcendental, or based on the ''form'' of all possible experience, while ''a posteriori'' cognition is empirical, based on the ''content'' of experience: It is quite possible that our empirical knowledge is a compound of that which we receive through impressions, and that which the faculty of cognition supplies from itself sensuous impressions ense datagiving merely the ''occasion'' pportunity for a cause to produce its effect
Contrary to contemporary usages of the term, Kant believes that ''a priori'' knowledge is not entirely independent of the content of experience. Unlike the rationalists, Kant thinks that ''a priori'' cognition, in its pure form, that is without the admixture of any empirical content, is limited to the deduction of the conditions of possible experience. These ''a priori'', or transcendental conditions, are seated in one's cognitive faculties, and are not provided by experience in general or any experience in particular (although an argument exists that ''a priori'' intuitions can be "triggered" by experience).
Kant nominated and explored the possibility of a transcendental logic with which to consider the deduction of the ''a priori'' in its pure form. Space
Space is the boundless three-dimensional extent in which objects and events have relative position and direction. In classical physics, physical space is often conceived in three linear dimensions, although modern physicists usually con ...
, 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, t ...
and causality
Causality (also referred to as causation, or cause and effect) is influence by which one event, process, state, or object (''a'' ''cause'') contributes to the production of another event, process, state, or object (an ''effect'') where the cau ...
are considered pure ''a priori'' intuitions. Kant reasoned that the pure ''a priori'' intuitions are established via his transcendental aesthetic and transcendental logic. He claimed that the human subject would not have the kind of experience that it has were these ''a priori'' forms not in some way constitutive of him as a human subject. For instance, a person would not experience the world as an orderly, rule-governed place unless time, space and causality were determinant functions in the form of perceptual faculties, i. e., there can be no experience in general without space, time or causality as particular determinants thereon. The claim is more formally known as Kant's transcendental deduction and it is the central argument of his major work, the '' Critique of Pure Reason''. The transcendental deduction argues that time, space and causality are ideal as much as real. In consideration of a possible logic of the ''a priori'', this most famous of Kant's deductions has made the successful attempt in the case for the fact of subjectivity
Subjectivity in a philosophical context has to do with a lack of objective reality. Subjectivity has been given various and ambiguous definitions by differing sources as it is not often the focal point of philosophical discourse.Bykova, Marina ...
, what constitutes subjectivity and what relation it holds with objectivity and the empirical.
Johann Fichte
After Kant's death, a number of philosophers saw themselves as correcting and expanding his philosophy, leading to the various forms of German Idealism. One of these philosophers was Johann Fichte. His student (and critic), Arthur Schopenhauer
Arthur Schopenhauer ( , ; 22 February 1788 – 21 September 1860) was a German philosopher. He is best known for his 1818 work ''The World as Will and Representation'' (expanded in 1844), which characterizes the phenomenal world as the pro ...
, accused him of rejecting the distinction between ''a priori'' and ''a posteriori'' knowledge:
See also
* A priori probability
* Ab initio
*Abductive reasoning
Abductive reasoning (also called abduction,For example: abductive inference, or retroduction) is a form of logical inference formulated and advanced by American philosopher Charles Sanders Peirce beginning in the last third of the 19th centu ...
* Deductive reasoning
* Inductive reasoning
* Off the verandah
* Relativized a priori
*Tabula rasa
''Tabula rasa'' (; "blank slate") is the theory that individuals are born without built-in mental content, and therefore all knowledge comes from experience or perception. Epistemological proponents of ''tabula rasa'' disagree with the doc ...
* Transcendental empiricism
* Transcendental hermeneutic phenomenology
* Transcendental nominalism
References
Notes
Citations
Sources
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Further reading
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External links
*
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*
A priori / a posteriori
— in the Philosophical Dictionary online.
"Rationalism vs. Empiricism"
— an article by Peter Markie in the ''Stanford Encyclopedia of Philosophy''.
{{DEFAULTSORT:A Priori and a Posteriori
Concepts in epistemology
Conceptual distinctions
Critical thinking
Critical thinking skills
Empiricism
Justification (epistemology)
Kantianism
Latin logical phrases
Latin philosophical phrases
Mental processes
Philosophical logic
Philosophical theories
Philosophy of logic
Philosophy of mind
Rationalism
Reality
Sources of knowledge
Subjective experience
Term logic
Thought