Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Examination of Sir Wm Hamilton's Philosophy' and 'Law and Causality'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
Ramsey's Test: believe the consequent if you believe the antecedent [Ramsey, by Read]
     Full Idea: Ramsey's Test for conditionals is that a conditional should be believed if a belief in its antecedent would commit one to believing its consequent.
     From: report of Frank P. Ramsey (Law and Causality [1928]) by Stephen Read - Thinking About Logic Ch.3
     A reaction: A rather pragmatic approach to conditionals
10. Modality / B. Possibility / 8. Conditionals / e. Supposition conditionals
Asking 'If p, will q?' when p is uncertain, then first add p hypothetically to your knowledge [Ramsey]
     Full Idea: If two people are arguing 'If p, will q?' and are both in doubt as to p, they are adding p hypothetically to their stock of knowledge, and arguing on that basis about q; ...they are fixing their degrees of belief in q given p.
     From: Frank P. Ramsey (Law and Causality [1928], B 155 n)
     A reaction: This has become famous as the 'Ramsey Test'. Bennett emphasises that he is not saying that you should actually believe p - you are just trying it for size. The presupposition approach to conditionals seems attractive. Edgington likes 'degrees'.
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
External objects are permanent possibilities of sensation [Mill]
     Full Idea: External objects are permanent possibilities of sensation.
     From: John Stuart Mill (Examination of Sir Wm Hamilton's Philosophy [1865]), quoted by Michael Williams - Problems of Knowledge Ch.9
14. Science / B. Scientific Theories / 8. Ramsey Sentences
Mental terms can be replaced in a sentence by a variable and an existential quantifier [Ramsey]
     Full Idea: Ramsey Sentences are his technique for eliminating theoretical terms in science (and can be applied to mental terms, or to social rights); a term in a sentence is replaced by a variable and an existential quantifier.
     From: Frank P. Ramsey (Law and Causality [1928]), quoted by Thomas Mautner - Penguin Dictionary of Philosophy p.469
     A reaction: The technique is used by functionalists and results in a sort of eliminativism. The intrinsic nature of mental states is eliminated, because everything worth saying can be expressed in terms of functional/causal role. Sounds wrong to me.
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
I judge others' feeling by analogy with my body and behaviour [Mill]
     Full Idea: I conclude other humans have feelings like me because they have bodies like mine (which I know in my case to be antecedent to feelings), and because they exhibit acts and outwards signs which I know in my own case to be caused by feelings.
     From: John Stuart Mill (Examination of Sir Wm Hamilton's Philosophy [1865], p.243), quoted by Keith T. Maslin - Introduction to the Philosophy of Mind 8.2
     A reaction: It is hard to see anything further that can be added to the 'other minds' question. Behaviour is highly relevant (imagine meeting a human who talked like a robot), but so are bodies (imagine a tin box that talked like Marilyn Monroe).
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
All knowledge needs systematizing, and the axioms would be the laws of nature [Ramsey]
     Full Idea: Even if we knew everything, we should still want to systematize our knowledge as a deductive system, and the general axioms in that system would be the fundamental laws of nature.
     From: Frank P. Ramsey (Law and Causality [1928], §A)
     A reaction: This is the Mill-Ramsey-Lewis view. Cf. Idea 9420.
Causal laws result from the simplest axioms of a complete deductive system [Ramsey]
     Full Idea: Causal laws are consequences of those propositions which we should take as axioms if we knew everything and organized it as simply as possible in a deductive system.
     From: Frank P. Ramsey (Law and Causality [1928], §B)
     A reaction: Cf. Idea 9418.