Combining Philosophers

All the ideas for Archimedes, Timon and Norman Malcolm

unexpand these ideas     |    start again     |     specify just one area for these philosophers


4 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
That honey is sweet I do not affirm, but I agree that it appears so [Timon]
     Full Idea: That honey is sweet I do not affirm, but I agree that it appears so.
     From: Timon (On Sensations (frags) [c.285 BCE]), quoted by Diogenes Laertius - Lives of Eminent Philosophers 09.104-5
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
If my conception of pain derives from me, it is a contradiction to speak of another's pain [Malcolm]
     Full Idea: If I obtain my conception of pain from pain that I experience, then it will be a part of my conception of pain that I am the only being that can experience it. For me it will be contradiction to speak of another's pain.
     From: Norman Malcolm (Wittgenstein's 'Philosophical Investigations' [1954]), quoted by Alvin Plantinga - De Re and De Dicto p.44
     A reaction: This obviously has the private language argument in the background. It seems to point towards a behaviourist view, that I derive pain from external behaviour in the first instance. So how do I connect the behaviour to the feeling?
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
God's existence is either necessary or impossible, and no one has shown that the concept of God is contradictory [Malcolm]
     Full Idea: God's existence is either impossible or necessary. It can be the former only if the concept of such a being is self-contradictory or in some way logically absurd. Assuming that this is not so, it follows that He necessarily exists.
     From: Norman Malcolm (Anselm's Argument [1959], §2)
     A reaction: The concept of God suggests paradoxes of omniscience, omnipotence and free will, so self-contradiction seems possible. How should we respond if the argument suggests God is necessary, but evidence suggests God is highly unlikely?