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Proof (truth) A proof is sufficient evidence or a sufficient argument for the truth of a proposition. [1][2][3][4] The concept applies in a variety of disciplines, [5] with both the nature of the evidence or justification and the criteria for sufficiency being area-dependent. In the area of oral and written communication such as conversation ...
The Proof of the Truthful[1] (Arabic: برهان الصديقين, romanized: burhān al-ṣiddīqīn, [2] also translated Demonstration of the Truthful[2] or Proof of the Veracious, [3] among others) is a formal argument for proving the existence of God introduced by the Islamic philosopher Avicenna (also known as Ibn Sina, 980–1037).
Logical truth is one of the most fundamental concepts in logic. Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity of its constituent propositions . In other words, a logical truth is a statement which is not only true, but one which is true under all interpretations of its logical components ...
As practiced, a proof is expressed in natural language and is a rigorous argument intended to convince the audience of the truth of a statement. The standard of rigor is not absolute and has varied throughout history. A proof can be presented differently depending on the intended audience.
Logical positivism, later called logical empiricism, and both of which together are also known as neopositivism, is a movement whose central thesis is the verification principle (also known as the verifiability criterion of meaning). [1] This theory of knowledge asserts that only statements verifiable through direct observation or logical proof ...
Peirce is said to have initiated fallibilism. Originally, fallibilism (from Medieval Latin: fallibilis, "liable to error") is the philosophical principle that propositions can be accepted even though they cannot be conclusively proven or justified, [ 1 ][ 2 ] or that neither knowledge nor belief is certain. [ 3 ]
March 2015. In epistemology, criteria of truth (or tests of truth) are standards and rules used to judge the accuracy of statements and claims. They are tools of verification, and as in the problem of the criterion, the reliability of these tools is disputed. Understanding a philosophy 's criteria of truth is fundamental to a clear evaluation ...
The following are the headers for Hilbert's 23 problems as they appeared in the 1902 translation in the Bulletin of the American Mathematical Society. [1] 1. Cantor's problem of the cardinal number of the continuum. 2. The compatibility of the arithmetical axioms. 3. The equality of the volumes of two tetrahedra of equal bases and equal altitudes.