17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
17627 | It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell] |
10256 | For intuitionists, proof is inherently informal [Shapiro] |
9646 | There is no limit to how many ways something can be proved in mathematics [Brown,JR] |
9647 | Computers played an essential role in proving the four-colour theorem of maps [Brown,JR] |
10692 | Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall] |
10885 | Computer proofs don't provide explanations [Horsten] |