26 ideas
| 22138 | Science rests on scholastic metaphysics, not on Hume, Kant or Carnap [Boulter] |
| 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] |
| 5044 | Reality must be made of basic unities, which will be animated, substantial points [Leibniz] |
| 22134 | Thoughts are general, but the world isn't, so how can we think accurately? [Boulter] |
| 18957 | Nominalism only makes sense if it is materialist [Putnam] |
| 18950 | Physics is full of non-physical entities, such as space-vectors [Putnam] |
| 22150 | Logical possibility needs the concepts of the proposition to be adequate [Boulter] |
| 22139 | Experiments don't just observe; they look to see what interventions change the natural order [Boulter] |
| 18960 | Most predictions are uninteresting, and are only sought in order to confirm a theory [Putnam] |
| 22136 | Science begins with sufficient reason, de-animation, and the importance of nature [Boulter] |
| 5045 | No machine or mere organised matter could have a unified self [Leibniz] |
| 22135 | Our concepts can never fully capture reality, but simplification does not falsify [Boulter] |
| 5046 | The soul does know bodies, although they do not influence one another [Leibniz] |
| 22152 | Aristotelians accept the analytic-synthetic distinction [Boulter] |
| 22156 | The facts about human health are the measure of the values in our lives [Boulter] |
| 5043 | To regard animals as mere machines may be possible, but seems improbable [Leibniz] |