Self-evident
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In
epistemology 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. Epi ...
(theory of knowledge), a self-evident proposition is a proposition that is known to be true by understanding its meaning without
proof Proof most often refers to: * Proof (truth), argument or sufficient evidence for the truth of a proposition * Alcohol proof, a measure of an alcoholic drink's strength Proof may also refer to: Mathematics and formal logic * Formal proof, a c ...
, and/or by ordinary human reason. Some epistemologists deny that any proposition can be self-evident. For most others, one's belief that oneself is
conscious Consciousness, at its simplest, is sentience and awareness of internal and external existence. However, the lack of definitions has led to millennia of analyses, explanations and debates by philosophers, theologians, linguisticians, and scien ...
is offered as an example of self-evidence. However, one's belief that someone else is conscious is not epistemically self-evident. The following proposition is often said to be self-evident: "A finite whole is greater than, or equal to, any of its parts". A
logical 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 ...
for a self-evident conclusion would demonstrate only an ignorance of the purpose of persuasively arguing for the conclusion based on one or more premises that differ from it (see ' and
begging the question In classical rhetoric and logic, begging the question or assuming the conclusion (Latin: ') is an informal fallacy that occurs when an argument's premises assume the truth of the conclusion, instead of supporting it. For example: * "Green is t ...
).


Analytic propositions

It is sometimes said that a self-evident proposition is one whose denial is self-contradictory. It is also sometimes said that an
analytic proposition Generally speaking, analytic (from el, ἀναλυτικός, ''analytikos'') refers to the "having the ability to analyze" or "division into elements or principles". Analytic or analytical can also have the following meanings: Chemistry * ...
is one whose denial is self-contradictory. But the concepts mean different things, i.e., an analytic proposition is not always a self-evident proposition. (Consider for a counterargument the aforementioned statement "Whole is greater than its parts or equal to them.") But on the other hand, an analytical proposition as "All bachelors are not married." is not self-evident. Since it has nothing to do with its truth value. Provided that one understands and believes a self-evident proposition, self-evident propositions are not in need of proof. Likewise, that their denial is self-contradictory does not need to be proven. It is in this sense that the self-contradictions at work in self-evident and analytic propositions are different. Not all analytic propositions are self-evident, and it is sometimes claimed that not all self-evident propositions are analytic: e.g. my knowledge that I am conscious.


Other uses


Informal speech

In informal speech, ''self-evident'' often merely means ''obvious'', but the epistemological definition is stricter.


Moral propositions

Moral propositions may also be regarded as self-evident, although the
is–ought problem The is–ought problem, as articulated by the Scottish philosopher and historian David Hume, arises when one makes claims about what ''ought'' to be that are based solely on statements about what ''is''. Hume found that there seems to be a signif ...
described by
David Hume David Hume (; born David Home; 7 May 1711 NS (26 April 1711 OS) – 25 August 1776) Cranston, Maurice, and Thomas Edmund Jessop. 2020 999br>David Hume" '' Encyclopædia Britannica''. Retrieved 18 May 2020. was a Scottish Enlightenment ph ...
considers that there is no coherent way to transition from a positive statement to a normative one. For example,
Alexander Hamilton Alexander Hamilton (January 11, 1755 or 1757July 12, 1804) was an American military officer, statesman, and Founding Father who served as the first United States secretary of the treasury from 1789 to 1795. Born out of wedlock in Charle ...
cited the following moral propositions as self-evident in the Federalist No. 23: * ''The means ought to be proportioned to the end.'' * ''Every power ought to be commensurate with its object.'' * ''There ought to be no limitation of a power destined to effect a purpose which is itself incapable of limitation.'' A famous claim of the self-evidence of a moral truth is in the
United States Declaration of Independence The United States Declaration of Independence, formally The unanimous Declaration of the thirteen States of America, is the pronouncement and founding document adopted by the Second Continental Congress meeting at Pennsylvania State House ( ...
, which states, "We hold these Truths to be ''self-evident'', that all men are created equal, that they are endowed by their Creator with certain
unalienable Rights Some philosophers distinguish two types of rights, natural rights and legal rights. * Natural rights are those that are not dependent on the laws or customs of any particular culture or government, and so are ''universal'', '' fundamental'' a ...
, that among these are
Life, Liberty and the pursuit of Happiness "Life, Liberty and the pursuit of Happiness" is a well-known phrase from the United States Declaration of Independence. Scanned image of the Jefferson's "original Rough draught" of the Declaration of Independence, written in June 1776, including ...
."; philosophically, these propositions' self-evidence is debatable.


Mathematics

In
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 ...
, self-evident means that it needs no proof because the proof is as easy as the statement. For example, any even number is divisible by 2. This statement is self-evident.


See also

*
Axiom An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word (), meaning 'that which is thought worthy or ...
*
Contradiction In traditional logic, a contradiction occurs when a proposition conflicts either with itself or established fact. It is often used as a tool to detect disingenuous beliefs and bias. Illustrating a general tendency in applied logic, Aristotle's ...
*
Foundationalism Foundationalism concerns philosophical theories of knowledge resting upon non-inferential justified belief, or some secure foundation of certainty such as a conclusion inferred from a basis of sound premises.Simon Blackburn, ''The Oxford Dictio ...
*
Introspection Introspection is the examination of one's own conscious thoughts and feelings. In psychology, the process of introspection relies on the observation of one's mental state, while in a spiritual context it may refer to the examination of one's sou ...
* Law of identity * Primitive notion *
Self-reference Self-reference occurs in natural or formal languages when a sentence, idea or formula refers to itself. The reference may be expressed either directly—through some intermediate sentence or formula—or by means of some encoding. In philoso ...
* Self-refuting idea


Notes

{{Reflist Sources of knowledge Evidence A priori Fallacies Barriers to critical thinking de:Evidenz