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Self-evident
In epistemology (theory of knowledge), a self-evident proposition is a proposition that is known to be true by understanding its meaning without proof, 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 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 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). 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 is one whose denial is sel ...
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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 (later renamed Independence Hall) in Philadelphia, Pennsylvania, on July 4, 1776. Enacted during the American Revolution, the Declaration explains why the Thirteen Colonies at war with the Kingdom of Great Britain regarded themselves as thirteen independent sovereign states, no longer subject to British colonial rule. With the Declaration, these new states took a collective first step in forming the United States of America and, de facto, formalized the American Revolutionary War, which had been ongoing since April 1775. The Declaration of Independence was signed by 56 of America's Founding Fathers, congressional representatives from New Hampshire, Massachusetts Bay, Rhode Island and Providence Plantations, Connecticut, New York, New Jer ...
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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 significant difference between descriptive or positive statements (about what is) and prescriptive or normative statements (about what ought to be), and that it is not obvious how one can coherently move from descriptive statements to prescriptive ones. Hume's law or Hume's guillotine is the thesis that, if a reasoner only has access to non-moral and non-evaluative factual premises, the reasoner cannot logically infer the truth of moral statements.Cohon, Rachel, "Hume's Moral Philosophy", The Stanford Encyclopedia of Philosophy (Fall 2018 Edition), Edward N. Zalta (ed.), URL = <https://plato.stanford.edu/archives/fall2018/entries/hume-moral/.> A similar view is defended by G. E. Moore's open-question argument, intended to refute any ident ...
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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 fit' or 'that which commends itself as evident'. The term has subtle differences in definition when used in the context of different fields of study. As defined in classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. As used in modern logic, an axiom is a premise or starting point for reasoning. As used in mathematics, the term ''axiom'' is used in two related but distinguishable senses: "logical axioms" and "non-logical axioms". Logical axioms are usually statements that are taken to be true within the system of logic they define and are often shown in symbolic form (e.g., (''A'' and ''B'') implies ''A''), while non-logical axioms (e.g., ) are actually ...
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Inalienable 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'' and ''inalienable'' (they cannot be repealed by human laws, though one can forfeit their enjoyment through one's actions, such as by violating someone else's rights). Natural law is the law of natural rights. * Legal rights are those bestowed onto a person by a given legal system (they can be modified, repealed, and restrained by human laws). The concept of positive law is related to the concept of legal rights. Natural law first appeared in ancient Greek philosophy, and was referred to by Roman philosopher Cicero. It was subsequently alluded to in the Bible, and then developed in the Middle Ages by Catholic philosophers such as Albert the Great and his pupil Thomas Aquinas. During the Age of Enlightenment, the concept of natural laws was use ...
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Self-refuting Idea
A self-refuting idea or self-defeating idea is an idea or statement whose falsehood is a logical consequence of the act or situation of holding them to be true. Many ideas are called self-refuting by their detractors, and such accusations are therefore almost always controversial, with defenders stating that the idea is being misunderstood or that the argument is invalid. For these reasons, none of the ideas below are unambiguously or incontrovertibly self-refuting. These ideas are often used as axioms, which are definitions taken to be true ( tautological assumptions), and cannot be used to test themselves, for doing so would lead to only two consequences: consistency (circular reasoning) or exception (self-contradiction). Variations Directly self-denying statements Directly self-denying statements are characterised by being necessarily (or inherently) false. The Epimenides paradox is a statement of the form "this statement is false". Such statements troubled philosophers, espec ...
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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 the best color because it is the greenest of all colors" This statement claims that the color green is the best because it is the greenest – which it presupposes is the best. It is a type of circular reasoning: an argument that requires that the desired conclusion be true. This often occurs in an indirect way such that the fallacy's presence is hidden, or at least not easily apparent.Herrick (2000) 248. History The original phrase used by Aristotle from which ''begging the question'' descends is: τὸ ἐξ ἀρχῆς (or sometimes ἐν ἀρχῇ) αἰτεῖν, "asking for the initial thing". Aristotle's intended meaning is closely tied to the type of dialectical argument he discusses in his '' Topics'', book VIII: a formalized ...
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Evidence
Evidence for a proposition is what supports this proposition. It is usually understood as an indication that the supported proposition is true. What role evidence plays and how it is conceived varies from field to field. In epistemology, evidence is what justifies beliefs or what makes it rational to hold a certain doxastic attitude. For example, a perceptual experience of a tree may act as evidence that justifies the belief that there is a tree. In this role, evidence is usually understood as a private mental state. Important topics in this field include the questions of what the nature of these mental states is, for example, whether they have to be propositional, and whether misleading mental states can still qualify as evidence. In phenomenology, evidence is understood in a similar sense. Here, however, it is limited to intuitive knowledge that provides immediate access to truth and is therefore indubitable. In this role, it is supposed to provide ultimate justifications for ...
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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 soul. Introspection is closely related to human self-reflection and self-discovery and is contrasted with external observation. Introspection generally provides a privileged access to one's own mental states, not mediated by other sources of knowledge, so that individual experience of the mind is unique. Introspection can determine any number of mental states including: sensory, bodily, cognitive, emotional and so forth. Introspection has been a subject of philosophical discussion for thousands of years. The philosopher Plato asked, "…why should we not calmly and patiently review our own thoughts, and thoroughly examine and see what these appearances in us really are?" While introspection is applicable to many facets of philosophical t ...
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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 Dictionary of Philosophy'', 2nd (New York: Oxford University Press, 2005)p 139 The main rival of the foundationalist theory of justification is the coherence theory of justification, whereby a body of knowledge, not requiring a secure foundation, can be established by the interlocking strength of its components, like a puzzle solved without prior certainty that each small region was solved correctly. Identifying the alternatives as either circular reasoning or infinite regress, and thus exhibiting the regress problem, Aristotle made foundationalism his own clear choice, positing basic beliefs underpinning others.Ted Poston"Foundationalism"(Internet Encyclopedia of Philosophy) Descartes, the most famed foundationalist, discovered a foundation i ...
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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 with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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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 all the changes made later by John Adams, Benjamin Franklin and other members of the committee, and by Congress. The phrase gives three examples of the unalienable rights which the Declaration says have been given to all humans by their Creator, and which governments are created to protect. Like the other principles in the Declaration of Independence, this phrase is not legally binding, but has been widely referenced and seen as an inspiration for the basis of government. Origin and phrasing The United States Declaration of Independence was drafted by Thomas Jefferson, and then edited by the Committee of Five, which consisted of Jefferson, John Adams, Benjamin Franklin, Roger Sherman, and Robert Livingston. It was then further edited a ...
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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. Epistemologists study the nature, origin, and scope of knowledge, epistemic justification, the rationality of belief, and various related issues. Debates in epistemology are generally clustered around four core areas: # The philosophical analysis of the nature of knowledge and the conditions required for a belief to constitute knowledge, such as truth and justification # Potential sources of knowledge and justified belief, such as perception, reason, memory, and testimony # The structure of a body of knowledge or justified belief, including whether all justified beliefs must be derived from justified foundational beliefs or whether justification requires only a coherent set of beliefs # Philosophical skepticism, which questions the possibili ...
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