Combining Texts

All the ideas for 'On the Foundations of Logic and Arithmetic', 'How to Define Theoretical Terms' and 'Natural Theology'

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13 ideas

2. Reason / D. Definition / 2. Aims of Definition
Defining terms either enables elimination, or shows that they don't require elimination [Lewis]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic already contains some arithmetic, so the two must be developed together [Hilbert]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
A logically determinate name names the same thing in every possible world [Lewis]
14. Science / B. Scientific Theories / 8. Ramsey Sentences
The Ramsey sentence of a theory says that it has at least one realisation [Lewis]
A Ramsey sentence just asserts that a theory can be realised, without saying by what [Lewis]
There is a method for defining new scientific terms just using the terms we already understand [Lewis]
It is better to have one realisation of a theory than many - but it may not always be possible [Lewis]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
Unlike a stone, the parts of a watch are obviously assembled in order to show the time [Paley]
From the obvious purpose and structure of a watch we must infer that it was designed [Paley]
Even an imperfect machine can exhibit obvious design [Paley]
All the signs of design found in a watch are also found in nature [Paley]
No organ shows purpose more obviously than the eyelid [Paley]