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A priori and a posteriori (philosophy)

 

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A priori and a posteriori (philosophy)



 
 
The terms "a priori" and "a posteriori" are used in philosophy
Philosophy

Philosophy is the study of general problems concerning matters such as existence, knowledge, truth, beauty, justice, validity, mind, and language....
 (epistemology
Epistemology

Epistemology or theory of knowledge is the branch of philosophy concerned with the nature and scope of knowledge. It addresses the questions:...
) to distinguish two types of knowledge
Knowledge

Knowledge is defined in the Oxford English Dictionary as expertise, and skills acquired by a person through experience or education; the theoretical or practical understanding of a subject, what is known in a particular field or in total; facts and information or awareness or familiarity gained by experience of a fact or situation....
, justifications or argument
Argument

* In logic, an Argument is a set of one or more meaningful declarative sentences known as the premises along with another meaningful declarative sentence known as the conclusion....
s. A priori knowledge or justification is independent of experience
Experience

Experience as a general concept comprises knowledge of or skill in or observation of some thing or some event gained through involvement in or exposure to that thing or event....
 (for example 'All bachelors are unmarried'); a posteriori knowledge or justification is dependent on experience
Experience

Experience as a general concept comprises knowledge of or skill in or observation of some thing or some event gained through involvement in or exposure to that thing or event....
 or empirical
Empirical

The word empirical denotes information gained by means of observation, experience, or experiment, as opposed to theory. A central concept in science and the scientific method is that all evidence must be empirical, or empirically based, that is, dependent on evidence or Logical consequence that are observable by the senses....
 evidence
Evidence

Evidence in its broadest sense includes everything that is used to determine or demonstrate the truth of an assertion. Giving or procuring evidence is the process of using those things that are either a) presumed to be true, or b) were themselves proven via evidence, to demonstrate an assertion's truth....
 (for example 'Some bachelors are very happy'). A priori justification makes no reference to experience; the issue concerns how one knows the proposition or claim in question—what justifies or grounds one's belief in it.






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The terms "a priori" and "a posteriori" are used in philosophy
Philosophy

Philosophy is the study of general problems concerning matters such as existence, knowledge, truth, beauty, justice, validity, mind, and language....
 (epistemology
Epistemology

Epistemology or theory of knowledge is the branch of philosophy concerned with the nature and scope of knowledge. It addresses the questions:...
) to distinguish two types of knowledge
Knowledge

Knowledge is defined in the Oxford English Dictionary as expertise, and skills acquired by a person through experience or education; the theoretical or practical understanding of a subject, what is known in a particular field or in total; facts and information or awareness or familiarity gained by experience of a fact or situation....
, justifications or argument
Argument

* In logic, an Argument is a set of one or more meaningful declarative sentences known as the premises along with another meaningful declarative sentence known as the conclusion....
s. A priori knowledge or justification is independent of experience
Experience

Experience as a general concept comprises knowledge of or skill in or observation of some thing or some event gained through involvement in or exposure to that thing or event....
 (for example 'All bachelors are unmarried'); a posteriori knowledge or justification is dependent on experience
Experience

Experience as a general concept comprises knowledge of or skill in or observation of some thing or some event gained through involvement in or exposure to that thing or event....
 or empirical
Empirical

The word empirical denotes information gained by means of observation, experience, or experiment, as opposed to theory. A central concept in science and the scientific method is that all evidence must be empirical, or empirically based, that is, dependent on evidence or Logical consequence that are observable by the senses....
 evidence
Evidence

Evidence in its broadest sense includes everything that is used to determine or demonstrate the truth of an assertion. Giving or procuring evidence is the process of using those things that are either a) presumed to be true, or b) were themselves proven via evidence, to demonstrate an assertion's truth....
 (for example 'Some bachelors are very happy'). A priori justification makes no reference to experience; the issue concerns how one knows the proposition or claim in question—what justifies or grounds one's belief in it. Galen Strawson
Galen Strawson

Galen John Strawson is a United Kingdom philosopher and literary critic who works primarily on philosophy of mind, metaphysics , John Locke, David Hume and Kant....
 wrote that an a priori argument is one of which "you can see that it is true
True

True is the adjective form of the word truth.True may also refer to:...
 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." There are many points of view on these two types of assertion, and their relationship is one of the oldest problems in modern philosophy.

See also the related distinctions: deductive
Deductive reasoning

Deductive reasoning, sometimes called deductive logic, is reasoning which constructs or evaluates deductive Argument s.In logic, an argument is said to be deductive when the truth of the conclusion is purported to follow necessarily or be a logical consequence of the premises and its corresponding conditional is a necessary truth....
/inductive
Inductive reasoning

Induction or inductive reasoning, sometimes called inductive logic, is reasoning which takes us "beyond the confines of our current evidence or knowledge to conclusions about the unknown." The premises of an inductive logical argument support the conclusion but do not entailment it; i.e....
, analytic/synthetic, necessary
Necessary

Necessary may refer to:* Something that is a required condition for something else to be the case, see necessary and sufficient conditions.* A necessary truth, something that cannot fail to be true, see logical possibility....
/contingent
Contingency (philosophy)

In philosophy and logic, contingency is the status of propositions that are not necessarily true or necessarily false. Here are four classes of propositions, some of which overlap:...
.

Introduction


Use of the terms

The terms "a priori" and "a posteriori" are used in philosophy to distinguish two different types of knowledge, justification, or argument: a priori knowledge is known independently of experience, and a posteriori knowledge is proven through experience. Thus, they are primarily used as adjective
Adjective

In grammar, an adjective is a word whose main syntax role is to grammatical modifier a noun or pronoun, giving more information about the noun or pronoun's definition....
s to modify the noun
Noun

In linguistics, a noun is a member of a large, open class lexical category whose members can occur as the main word in the subject of a clause, the object of a verb, or the object of a preposition....
 "knowledge", or taken to be compound nouns that refer to types of knowledge (for example, "a priori knowledge"). However, "a priori" is sometimes used as an adjective to modify other nouns, such as "truth." Additionally, philosophers often modify this use. For example, "apriority" and "aprioricity" are sometimes used as nouns to refer (approximately) to the quality of being a priori. Examples of proposed candidates of a priori knowledge include "2+5=7", the propositions of Euclidean geometry
Euclidean geometry

Euclidean geometry is a mathematical system attributed to the Greek mathematics Euclid of Alexandria. Euclid's Elements is the earliest known systematic discussion of geometry....
, and "all bachelors are unmarried." Examples of proposed candidates of a posteriori reasoning include "Protons are made of quarks" and "Hitler died in 1945."

The intuitive distinction

Although definitions and use of the terms have varied in the history of philosophy, they have consistently labelled two separate epistemological notions. The intuitive distinction between a priori and a posteriori knowledge is best seen in examples. To borrow from Jerry Fodor
Jerry Fodor

Jerry Alan Fodor is an United States Philosophy and Cognitive science. He is the State of New Jersey Professor of Philosophy at Rutgers University and is also the author of many works in the fields of philosophy of mind and cognitive science, in which he has laid the groundwork for the modularity of mind and the language of thought hypothese...
 (2004), take, for example, the proposition
Proposition

This article is about the term proposition in logic and philosophy; for other uses see PropositionIn logic and philosophy, proposition refers to either the "content" or Meaning of a meaningful declarative sentence or the pattern of symbols, marks, or sounds that make up a meaningful declarative sentence....
 expressed by the sentence, "George V reigned from 1910 to 1936." This is something (if true) that one must come to know a posteriori, because it expresses an empirical fact unknowable by reason alone. By contrast, consider the proposition, "If George V reigned at all, then he reigned for at least a day." This is something that one knows a priori, because it expresses a statement that one can derive by reason alone.

History of use


Early uses

The phrases "a priori" and "a posteriori" are Latin
Latin

Latin is an Italic language, historically spoken in Latium and Ancient Rome. Through the Military history of the Roman Empire, Latin spread throughout the Mediterranean and a large part of Europe....
 for "from what comes before" and "from what comes later" (or, less literally, "before experience" and "after experience"). An early philosophical use of what might be considered a notion of a priori knowledge (though not called by that name) is Plato
Plato

Plato , was a Classical Greece Greeks philosopher, mathematician, writer of philosophical dialogues, and founder of the Platonic Academy in Ancient Athens, the first institution of higher learning in the western world....
's theory of recollection
Innatism

Innatism is a philosophical doctrine that holds that the mind is born with ideas/knowledge, and that therefore the mind is not a 'blank slate' at birth, as early empiricists such as John Locke claimed....
, related in the dialogue Meno
Meno

Meno is a Socratic dialogue written by Plato. Written in the Socratic method, it attempts to determine the definition of virtue, or arete , meaning in this case virtue in general, rather than particular virtues ....
 (380 B.C.E.), according to which something like a priori knowledge is knowledge inherent, intrinsic
Intrinsic and extrinsic properties (philosophy)

An intrinsic Property is a property that an object or a thing has of itself, independently of other things, including its context. An extrinsic property is a property that depends on a thing's relationship with other things....
 in the human mind.

Immanuel Kant

Eighteenth-century German philosopher Immanuel Kant
Immanuel Kant

Immanuel Kant was an 18th-century German Philosophy from the Kingdom of Prussia city of K?nigsberg . He is regarded as one of the most influential thinkers of modern Europe and of the late Age of Enlightenment....
 (1781) advocated a blend of rationalist and empiricist theories. Kant states, "although all our knowledge begins with experience, it does not follow that it arises from experience" According to Kant, a priori knowledge is transcendental, or based on the form of all possible experience, while a posteriori knowledge is empirical, based on the content of experience. Kant states, "... 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 giving merely the occasion)." Thus, unlike the empiricists, Kant thinks that a priori knowledge is independent of the content of experience; moreover, unlike the rationalists, Kant thinks that a priori knowledge, in its pure form, that is without the admixture of any empirical content, is knowledge 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. Kant nominated and explored the possibility of a transcendental logic with which to consider the deduction of the a priori in its pure form. Concepts such as time
Time

Time is a component of the measurement used to sequence events, to compare the durations of events and the intervals between them, and to quantify the motions of objects....
 and cause are counted among the list of pure a priori forms. Kant reasoned that the pure a priori forms 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, he would not experience the world as an orderly, rule-governed place unless time and cause were operative in his cognitive faculties. 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
Critique of Pure Reason

The Critique of Pure Reason by Immanuel Kant, first published in 1781, second edition 1787, is one of the most influential works in the history of philosophy....
. The transcendental deduction does not avoid the fact or objectivity
Objectivity (philosophy)

For other uses of "objectivity", see Objectivity Objectivity is both an important and very difficult concept to pin down in philosophy. While there is no universally accepted articulation of objectivity, a proposition is generally considered to be objectively true when its truth conditions are "mind-independent"—that is, not the r...
 of time and cause, but does, in its consideration of a possible logic of the a priori, attempt to make the case for the fact of subjectivity
Subjectivity

Subjectivity refers to a subject's perspective or opinion, particularly feelings, beliefs, and desires. It is often used casually to refer to unjustified personal opinions, in contrast to knowledge and justified belief....
, what constitutes subjectivity and what relation it holds with objectivity and the empirical.

Analyticity and necessity


Relation to the analytic-synthetic

Several philosophers reacting to Kant sought to explain a priori knowledge without appealing to, as Paul Boghossian explains, "a special faculty...that has never been described in satisfactory terms." One theory, popular among the logical positivists
Logical positivism

Logical positivism is a school of philosophy that combines empiricism, the idea that observational evidence is indispensable for knowledge of the world, with a version of rationalism incorporating mathematical and logico-linguistic constructs and deductions in epistemology.See, e.g., : in Stanford Encyclopedia of Philosophy
 of the early twentieth 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 Kant's original distinction was primarily drawn in terms of conceptual containment, the contemporary version of the distinction primarily involves, as Quine
Willard Van Orman Quine

Willard Van Orman Quine , was an American analytic philosophy and logician. From 1930 until his death 70 years later, Quine was affiliated in some way with Harvard University, first as a student, then as a professor of philosophy and a teacher of mathematics, and finally as an emeritus elder statesman who published or revised seven books in...
 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 priori synthetic propositions are thought to be true in virtue of their meaning and 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, since it can be accounted for simply by one's ability to understand the meaning of the proposition in question. In short, proponents of this explanation claimed to have reduced a dubious metaphysical faculty of pure reason to a legitimate linguistic notion of analyticity.

However, the analytic explanation of a priori knowledge has undergone several criticisms. Most notably, the American philosopher W. V. O. Quine (1951) argued that the analytic-synthetic distinction is illegitimate (see Quine's rejection of the analytic-synthetic distinction
Willard Van Orman Quine

Willard Van Orman Quine , was an American analytic philosophy and logician. From 1930 until his death 70 years later, Quine was affiliated in some way with Harvard University, first as a student, then as a professor of philosophy and a teacher of mathematics, and finally as an emeritus elder statesman who published or revised seven books in...
). Quine states: "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/contingent
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
Modal logic

A modal logic is any system of mathematical logic#Formal logic that attempts to deal with notions of possibility and necessity. Traditionally, there are three "modes" or "moods" or "modalities" of the Copula to be, namely, Logical possibility, probability, and Necessary_and_sufficient_conditions#Necessary_conditions....
 is one whose negation is self-contradictory (thus, it is said to be true in every possible world
Possible world

In philosophy and logic, the concept of possible worlds is used to express modal logic. In philosophy, the term "modality" covers such notions as "possibility", "necessity", and "contingency"....
). Consider the proposition that all bachelors are unmarried. Theoretically, its negation, the proposition that some bachelors are married, is incoherent, because the concept of being unmarried (or the meaning of the word "unmarried") is 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, because it is impossible for them to be true. Thus, the negation of a self-contradictory proposition is supposed to be necessarily true. By contrast, a proposition that is contingently true is one whose negation is not self-contradictory (thus, it is said that it is not true in every possible world). As Jason Baehr states, it seems plausible that all necessary propositions are known a priori, because "[s]ense 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
Logical positivism

Logical positivism is a school of philosophy that combines empiricism, the idea that observational evidence is indispensable for knowledge of the world, with a version of rationalism incorporating mathematical and logico-linguistic constructs and deductions in epistemology.See, e.g., : in Stanford Encyclopedia of Philosophy
, in particular, took it for granted that a priori truths must be necessary...." However, since Kant, the distinction between analytic and synthetic propositions had 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 have since been more clearly separated from each other. The American philosopher Saul Kripke
Saul Kripke

Saul Aaron Kripke is an American philosophy and logician, now emeritus from Princeton University. He teaches as distinguished professor of philosophy at CUNY Graduate Center....
 (1972), for example, provided strong arguments against this position. Kripke argued that there are necessary a posteriori truths, such as the proposition that water is H2O (if it is true). According to Kripke, this statement is necessarily true (since water and H2O are the same thing, they are identical in every possible world, and truths of identity are logically necessary) and a posteriori (since it is known only through empirical investigation). Following such considerations of Kripke and others (such as Hilary Putnam
Hilary Putnam

Hilary Whitehall Putnam is an American philosopher who has been a central figure in analytic philosophy since the 1960s, especially in philosophy of mind, philosophy of language, and philosophy of science....
), philosophers tend to distinguish more clearly the notion of aprioricity 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 best fit into Kant's epistemological framework by calling it "analytic a posteriori".

Thus, the relationship between aprioricity, necessity, and analyticity is not 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
Epistemology

Epistemology or theory of knowledge is the branch of philosophy concerned with the nature and scope of knowledge. It addresses the questions:...
, the analytic/synthetic distinction is linguistic
Linguistics

Linguistics is the science study of natural language. Linguistics encompasses a number of sub-fields. An important topical division is between the study of language structure and the study of Meaning ....
, and the necessary/contingent distinction is metaphysical
Metaphysics

Metaphysics investigates principles of reality transcending those of any particular science. cosmology and ontology are traditional branches of metaphysics....
.

External links

  • - an article by Jason Baehr in the Internet Encyclopedia of Philosophy.
  • - in the Philosophical Dictionary online.
  • - an article by Peter Markie in the Stanford Encyclopedia of Philosophy.