Combining Texts

All the ideas for 'Explaining the A Priori', 'Remarks on the Foundations of Mathematics' and 'The Discourses'

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5 ideas

3. Truth / H. Deflationary Truth / 1. Redundant Truth
'It is true that this follows' means simply: this follows [Wittgenstein]
     Full Idea: The proposition: "It is true that this follows from that" means simply: this follows from that.
     From: Ludwig Wittgenstein (Remarks on the Foundations of Mathematics [1938], p.38), quoted by Robert Hanna - Rationality and Logic 6
     A reaction: Presumably this remark is simply expressing Wittgenstein's later agreement with the well-known view of Ramsey. Early Wittgenstein had endorsed a correspondence view of truth.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Two and one making three has the necessity of logical inference [Wittgenstein]
     Full Idea: "But doesn't it follow with logical necessity that you get two when you add one to one, and three when you add one to two? and isn't this inexorability the same as that of logical inference? - Yes! it is the same.
     From: Ludwig Wittgenstein (Remarks on the Foundations of Mathematics [1938], p.38), quoted by Robert Hanna - Rationality and Logic 6
     A reaction: This need not be a full commitment to logicism - only to the fact that the inferential procedures in mathematics are the same as those of logic. Mathematics could still have further non-logical ingredients. Indeed, I think it probably does.
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
The concept 'red' is tied to what actually individuates red things [Peacocke]
     Full Idea: The possession conditions for the concept 'red' of the colour red are tied to those very conditions which individuate the colour red.
     From: Christopher Peacocke (Explaining the A Priori [2000], p.267), quoted by Carrie Jenkins - Grounding Concepts 2.5
     A reaction: Jenkins reports that he therefore argues that we can learn something about the word 'red' from thinking about the concept 'red', which is his new theory of the a priori. I find 'possession conditions' and 'individuation' to be very woolly concepts.
25. Social Practice / E. Policies / 2. Religion in Society
All legislators invoke God in support of extraordinary laws, because their justification is not obvious [Machiavelli]
     Full Idea: There has never been a single legislator who, in proposing extraordinary laws, did not have recourse to God, for otherwise they would not be accepted, since many benefits known to a prudent man do not have evident persuasive reasons.
     From: Niccolo Machiavelli (The Discourses [1520], 1.11), quoted by Jean-Jacques Rousseau - The Social Contract (tr Cress) II.7 n8
     A reaction: It does seem to be an important role for God and state religion, to give support to decisions and laws which might not be intrinsically popular.
Rulers should preserve the foundations of religion, to ensure good behaviour and unity [Machiavelli]
     Full Idea: It is the duty of the rulers of a republic or a kingdom to preserve the foundations of the religion they hold; if they do this, it will be an easy thing for them to keep their state religious, and consequently good and united.
     From: Niccolo Machiavelli (The Discourses [1520], I.12)
     A reaction: This is the germ of Marx's view, that the sole role of religion is political, as a tool used by the ruling classes to keep the populace in their place. The same idea can be found in Critias (Idea 542). But what is wrong with some central moral guidance?