more on this theme | more from this thinker
Full Idea
Many say everything is logically possible which involves no contradiction. In this sense two contradictory propositions may be severally possible. In the substantive sense, the contradictory of a possible proposition is impossible (if we were omniscient).
Gist of Idea
Some logical possibility concerns single propositions, but there is also compatibility between propositions
Source
Charles Sanders Peirce (The Nature of Mathematics [1898], III)
Book Ref
Peirce,Charles Sanders: 'Philosophical Writings of Peirce', ed/tr. Buchler,Justus [Dover 1940], p.146
| 14789 | Experience is indeed our only source of knowledge, provided we include inner experience [Peirce] |
| 14782 | Philosophy is an experimental science, resting on common experience [Peirce] |
| 14783 | Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce] |
| 14784 | Ethics is the science of aims [Peirce] |
| 14786 | Some logical possibility concerns single propositions, but there is also compatibility between propositions [Peirce] |
| 14785 | The world is one of experience, but experiences are always located among our ideas [Peirce] |
| 14787 | Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction [Peirce] |
| 14788 | Mathematics is close to logic, but is even more abstract [Peirce] |