25 ideas
18951 | For scientific purposes there is a precise concept of 'true-in-L', using set theory [Putnam] |
18953 | Modern notation frees us from Aristotle's restriction of only using two class-names in premises [Putnam] |
18949 | The universal syllogism is now expressed as the transitivity of subclasses [Putnam] |
18952 | '⊃' ('if...then') is used with the definition 'Px ⊃ Qx' is short for '¬(Px & ¬Qx)' [Putnam] |
18958 | In type theory, 'x ∈ y' is well defined only if x and y are of the appropriate type [Putnam] |
18954 | Before the late 19th century logic was trivialised by not dealing with relations [Putnam] |
18956 | Asserting first-order validity implicitly involves second-order reference to classes [Putnam] |
18962 | Unfashionably, I think logic has an empirical foundation [Putnam] |
18961 | We can identify functions with certain sets - or identify sets with certain functions [Putnam] |
18955 | Having a valid form doesn't ensure truth, as it may be meaningless [Putnam] |
18959 | Sets larger than the continuum should be studied in an 'if-then' spirit [Putnam] |
1635 | Mathematics reduces to set theory (which is a bit vague and unobvious), but not to logic proper [Quine] |
18957 | Nominalism only makes sense if it is materialist [Putnam] |
18950 | Physics is full of non-physical entities, such as space-vectors [Putnam] |
7627 | You can't reduce epistemology to psychology, because that presupposes epistemology [Maund on Quine] |
8871 | We should abandon a search for justification or foundations, and focus on how knowledge is acquired [Quine, by Davidson] |
8826 | If we abandon justification and normativity in epistemology, we must also abandon knowledge [Kim on Quine] |
8827 | Without normativity, naturalized epistemology isn't even about beliefs [Kim on Quine] |
8899 | Epistemology is a part of psychology, studying how our theories relate to our evidence [Quine] |
335 | Do the gods also hold different opinions about what is right and honourable? [Plato] |
18960 | Most predictions are uninteresting, and are only sought in order to confirm a theory [Putnam] |
8898 | Inculcations of meanings of words rests ultimately on sensory evidence [Quine] |
8900 | In observation sentences, we could substitute community acceptance for analyticity [Quine] |
336 | Is what is pious loved by the gods because it is pious, or is it pious because they love it? (the 'Euthyphro Question') [Plato] |
337 | It seems that the gods love things because they are pious, rather than making them pious by loving them [Plato] |