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All the ideas for 'What is Logic?st1=Ian Hacking', 'The Roots of Romanticism' and 'Treatise of Human Nature, Appendix'

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28 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
Romanticism is the greatest change in the consciousness of the West [Berlin]
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
'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
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]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
Belief is a feeling, independent of the will, which arises from uncontrolled and unknown causes [Hume]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
A proposition cannot be intelligible or consistent, if the perceptions are not so [Hume]
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
Hume needs a notion which includes degrees of resemblance [Shoemaker on Hume]
16. Persons / B. Nature of the Self / 5. Self as Associations
Experiences are logically separate, but factually linked by simultaneity or a feeling of continuousness [Ayer on Hume]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
Are self and substance the same? Then how can self remain if substance changes? [Hume]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / c. Inadequacy of mental continuity
Perceptions are distinct, so no connection between them can ever be discovered [Hume]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
We have no impression of the self, and we therefore have no idea of it [Hume]
Does an oyster with one perception have a self? Would lots of perceptions change that? [Hume]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Most Enlightenment thinkers believed that virtue consists ultimately in knowledge [Berlin]
22. Metaethics / B. Value / 2. Values / g. Love
We have no natural love of mankind, other than through various relationships [Hume]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
If we are essentially free wills, authenticity and sincerity are the highest virtues [Berlin]
23. Ethics / D. Deontological Ethics / 2. Duty
The Greeks have no notion of obligation or duty [Berlin]
23. Ethics / F. Existentialism / 1. Existentialism
Central to existentialism is the romantic idea that there is nothing to lean on [Berlin]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Causation is just invariance, as long as it is described in general terms [Quine on Hume]
If impressions, memories and ideas only differ in vivacity, nothing says it is memory, or repetition [Whitehead on Hume]
29. Religion / B. Monotheistic Religion / 2. Judaism
Judaism and Christianity views are based on paternal, family and tribal relations [Berlin]