Combining Texts

All the ideas for 'What is Logic?st1=Ian Hacking', 'Introducing Persons' and 'Environmental Politics: very short intro'

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23 ideas

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]
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]
16. Persons / B. Nature of the Self / 5. Self as Associations
Can the mental elements of a 'bundle' exist on their own? [Carruthers]
Why would a thought be a member of one bundle rather than another? [Carruthers]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / c. Inadequacy of mental continuity
We identify persons before identifying conscious states [Carruthers]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
The environment needs localised politics, with its care for the land [Dobson]
24. Political Theory / D. Ideologies / 1. Ideology
An ideology judges things now, and offers an ideal, with a strategy for reaching it [Dobson]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Ecologism is often non-liberal, by claiming to know other people's best interests [Dobson]
24. Political Theory / D. Ideologies / 8. Socialism
Socialism can be productive and centralised, or less productive and decentralised [Dobson]
24. Political Theory / D. Ideologies / 12. Feminism
Difference feminists say women differ fundamentally from men [Dobson]
24. Political Theory / D. Ideologies / 13. Green Politics
A million years is a proper unit of political time [Dobson]
Ecologism says growth must be reduced, and efficiency is not enough [Dobson]
For the environment, affluence and technology matter as much as population size [Dobson]
We currently value the present fourteen times more highly than the future [Dobson]