| Line 1: |
Line 1: |
| | ==Mathematical proof== | | ==Mathematical proof== |
| − | | + | A mathematical proof is a step-by-step demonstration of the truth of a mathematical theorem. Proofs build on [[axiom | axioms]], which are statements that are assumed to be true without proof, as well as previously-proved [[theorem | theorems]]. |
| − | A mathematical proof is a step-by-step demonstration of the truth or falsity of a mathematical theorem. | |
| − | Proofs build on [[axiom | axioms]], which are statements that are assumed to be true without proof, | |
| − | as well as previously-proved [[theorem | theorems]]. | |
| | | | |
| | Several types of proofs are widely used, such as [[proof by contradiction | proof by contradiction]] | | Several types of proofs are widely used, such as [[proof by contradiction | proof by contradiction]] |
| | and [[proof by induction | proof by induction]]. Proofs that rely only on certain simple forms of reasoning | | and [[proof by induction | proof by induction]]. Proofs that rely only on certain simple forms of reasoning |
| | are sometimes called [[elementary proof | elementary proofs]]. | | are sometimes called [[elementary proof | elementary proofs]]. |
| − |
| |
| − | [[Andrew Schlafly | Andrew Schlafly]] cited the lack of a Wikipedia page on "elementary proof" as
| |
| − | proof of [[Examples_of_Bias_in_Wikipedia | bias in Wikipedia]]. Ironically, at that time Conservapedia did not even have a page on "proof".
| |
| | | | |
| | ==Scientific proof== | | ==Scientific proof== |
| − | Unlike the [[theorem | theorems]] of [[mathematics | mathematics]], [[science | science]] does not seek to prove that its [[theory | theories]] are true. Instead, the [[scientific method | scientific method]] seeks to check whether the predictions implied by a theory are observed in nature. Therefore, as philosopher of science [[Karl Popper | Karl Popper]] argued, science can only hope to show that a theory is false. But scientists recognize that science ''can never prove'' that a theory is true. Therefore scientists never claim that their theories are [[fact | facts]]. Instead, science searches for theories that are not disproved by currently-known experimental observations. Insofar as theories are consistent with nature, they may serve as a guide to improve [[technology | technology]]. | + | Unlike the [[theorem | theorems]] of [[mathematics | mathematics]], [[science | science]] does not seek to prove that its [[theory | theories]] are true. Instead, the [[scientific method | scientific method]] seeks to check whether the predictions implied by a theory are observed in nature. Therefore, as philosopher of science [[Karl Popper | Karl Popper]] argued, science can only hope to show that a theory is false. But scientists recognize that science ''can never prove'' that a theory is true in the same sense that a mathematical theorem is true. Therefore scientists never claim that their theories are [[fact | facts]]. Instead, science searches for theories that are not disproved by currently-known experimental observations. Insofar as theories are consistent with nature, they may serve as a guide to improve [[technology | technology]]. |
| − | | |
| − | | |
| − | ==Biblical proof==
| |
| − | | |
| − | God is the [[creation|creator]] of the universe. He is [[omnipotence|omnipotent]], [[omniscience|omnicent]] and [[omnipresence|omnipresent]]. The proof[http://www.parentalguide.com/Documents/Bible_Desk/proof_bible_true.htm] of this and all other things can be found in the [[Bible]].
| |
| − | | |
| − | | |
| − | ===Problem of Evil===
| |
| − | | |
| − | Without editing the previous subtopic, I must challenge its assertions:
| |
| − | | |
| − | | |
| − | Omniscience - Infinite knowledge
| |
| − | | |
| − | Omnipotence - Infinite power
| |
| − | | |
| − | Omnipresence - The property of transcending the boundries of space and time
| |
| − | | |
| − | Evil - The antithesis of good
| |
| − | | |
| − | | |
| − | | |
| − | If one follows the new testament and asserts God is benevolent (all-good)...
| |
| − | | |
| − | Why does evil exist in the world?
| |
| − | | |
| − | | |
| − | God's omnipotence, omniscience, omnipresense, or goodness must be suspect, unless one accepts that evil does not exist.
| |
| − | | |
| − | | |
| − | For more information please see the Stanford Free Philosophy Archive @ http://plato.stanford.edu/search/searcher.py?query=problem+of+evil
| |