21 ideas
17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
17638 | If one proposition is deduced from another, they are more certain together than alone [Russell] |
17632 | Non-contradiction was learned from instances, and then found to be indubitable [Russell] |
6396 | A sentence is held true because of a combination of meaning and belief [Davidson] |
17629 | Which premises are ultimate varies with context [Russell] |
17630 | The sources of a proof are the reasons why we believe its conclusion [Russell] |
17640 | Finding the axioms may be the only route to some new results [Russell] |
17627 | It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell] |
17628 | Arithmetic was probably inferred from relationships between physical objects [Russell] |
11145 | Having a belief involves the possibility of being mistaken [Davidson] |
6397 | The concept of belief can only derive from relationship to a speech community [Davidson] |
17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
17639 | Believing a whole science is more than believing each of its propositions [Russell] |
17631 | Induction is inferring premises from consequences [Russell] |
6392 | Thought depends on speech [Davidson] |
6393 | A creature doesn't think unless it interprets another's speech [Davidson] |
11144 | Concepts are only possible in a language community [Davidson] |
6395 | An understood sentence can be used for almost anything; it isn't language if it has only one use [Davidson] |
6394 | The pattern of sentences held true gives sentences their meaning [Davidson] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |