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All the ideas for 'What is Logic?st1=Ian Hacking', 'Works (refs to 8 vol Colli and Montinari)' and 'Set Theory and related topics (2nd ed)'

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38 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Nietzsche thinks philosophy makes us more profound, but not better [Nietzsche, by Ansell Pearson]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
How many mediocre thinkers are occupied with influential problems! [Nietzsche]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Nietzsche has a metaphysics, as well as perspectives - the ontology is the perspectives [Nietzsche, by Richardson]
2. Reason / A. Nature of Reason / 7. Status of Reason
Reason is just another organic drive, developing late, and fighting for equality [Nietzsche]
2. Reason / D. Definition / 3. Types of Definition
A decent modern definition should always imply a semantics [Hacking]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]
Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]
'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
The various logics are abstractions made from terms like 'if...then' in English [Hacking]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order completeness seems to need intensional entities and possible worlds [Hacking]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
7. Existence / D. Theories of Reality / 5. Naturalism
First see nature as non-human, then fit ourselves into this view of nature [Nietzsche]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Storms are wonderful expressions of free powers! [Nietzsche]
9. Objects / D. Essence of Objects / 3. Individual Essences
We begin with concepts of kinds, from individuals; but that is not the essence of individuals [Nietzsche]
20. Action / A. Definition of Action / 1. Action Theory
Nietzsche classified actions by the nature of the agent, not the nature of the act [Nietzsche, by Foot]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Nietzsche failed to see that moral actions can be voluntary without free will [Foot on Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Each person has a fixed constitution, which makes them a particular type of person [Nietzsche, by Leiter]
Nietzsche could only revalue human values for a different species [Nietzsche, by Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
The superman is a monstrous oddity, not a serious idea [MacIntyre on Nietzsche]
Nietzsche's higher type of man is much more important than the idealised 'superman' [Nietzsche, by Leiter]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
The 'will to power' is basically applied to drives and forces, not to people [Nietzsche, by Richardson]
22. Metaethics / B. Value / 2. Values / g. Love
Friendly chats undermine my philosophy; wanting to be right at the expense of love is folly [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Moral generalisation is wrong, because we should evaluate individual acts [Nietzsche, by Foot]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Nietzsche thought our psychology means there can't be universal human virtues [Nietzsche, by Foot]
23. Ethics / F. Existentialism / 1. Existentialism
Nietzsche tried to lead a thought-provoking life [Safranski on Nietzsche]
23. Ethics / F. Existentialism / 2. Nihilism
Initially nihilism was cosmic, but later Nietzsche saw it as a cultural matter [Nietzsche, by Ansell Pearson]
Nietzsche urges that nihilism be active, and will nothing itself [Nietzsche, by Zizek]
23. Ethics / F. Existentialism / 4. Boredom
Flight from boredom leads to art [Nietzsche]
23. Ethics / F. Existentialism / 7. Existential Action
Nietzsche was fascinated by a will that can turn against itself [Nietzsche, by Safranski]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Reliving life countless times - this gives the value back to life which religion took away [Nietzsche]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Individual development is more important than the state, but a community is necessary [Nietzsche]
24. Political Theory / B. Nature of a State / 4. Citizenship
Nietzsche thinks we should join a society, in order to criticise, heal and renew it [Nietzsche, by Richardson]
24. Political Theory / B. Nature of a State / 5. Culture
Every culture loses its identity and power if it lacks a major myth [Nietzsche]