Combining Texts

All the ideas for 'Wisdom', 'Structuralism and the Notion of Dependence' and 'The Nature of Rationality'

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16 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb]
3. Truth / A. Truth Problems / 3. Value of Truth
I do not care if my trivial beliefs are false, and I have no interest in many truths [Nozick]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Maybe James was depicting the value of truth, and not its nature [Nozick]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo]
Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo]
'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo]
'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
Structuralism is right about algebra, but wrong about sets [Linnebo]
In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
An 'intrinsic' property is either found in every duplicate, or exists independent of all externals [Linnebo]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Rationality is normally said to concern either giving reasons, or reliability [Nozick]
In the instrumental view of rationality it only concerns means, and not ends [Nozick]
Is it rational to believe a truth which leads to permanent misery? [Nozick]
Rationality needs some self-consciousness, to also evaluate how we acquired our reasons [Nozick]