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All the ideas for 'What is Logic?st1=Ian Hacking', 'Reflections on my Critics' and 'Sapiens: brief history of humankind'

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43 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
The Scientific Revolution was the discovery of our own ignorance [Harari]
For millenia people didn't know how to convert one type of energy into another [Harari]
2. Reason / D. Definition / 3. Types of Definition
A decent modern definition should always imply a semantics [Hacking]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
'Truth' may only apply within a theory [Kuhn]
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]
14. Science / B. Scientific Theories / 1. Scientific Theory
Kuhn came to accept that all scientists agree on a particular set of values [Kuhn, by Bird]
14. Science / B. Scientific Theories / 5. Commensurability
In theory change, words shift their natural reference, so the theories are incommensurable [Kuhn]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
Money does produce happiness, but only up to a point [Harari]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
If a group is bound by gossip, the natural size is 150 people [Harari]
24. Political Theory / A. Basis of a State / 2. Population / a. Human population
Since 1500 human population has increased fourteenfold, and consumption far more [Harari]
People 300m tons; domesticated animals 700m tons; larger wild animals 100m tons [Harari]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The Nazi aim was to encourage progressive evolution, and avoid degeneration [Harari]
24. Political Theory / B. Nature of a State / 5. Culture
We stabilise societies with dogmas, either of dubious science, or of non-scientific values [Harari]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
The state fostered individualism, to break the power of family and community [Harari]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
In 1750 losing your family and community meant death [Harari]
24. Political Theory / D. Ideologies / 11. Capitalism
The sacred command of capitalism is that profits must be used to increase production [Harari]
The main rule of capitalism is that all other goods depend on economic growth [Harari]
The progress of capitalism depends entirely on the new discoveries and gadgets of science [Harari]
In capitalism the rich invest, and the rest of us go shopping [Harari]
25. Social Practice / A. Freedoms / 4. Free market
No market is free of political bias, and markets need protection of their freedoms [Harari]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Freedom may work against us, as individuals can choose to leave, and make fewer commitments [Harari]
25. Social Practice / E. Policies / 1. War / e. Peace
Real peace is the implausibility of war (and not just its absence) [Harari]
25. Social Practice / E. Policies / 4. Taxation
Financing is increasingly through credit rather than taxes; people prefer investing to taxation [Harari]
25. Social Practice / E. Policies / 5. Education / d. Study of history
The more you know about history, the harder it becomes to explain [Harari]
History teaches us that the present was not inevitable, and shows us the possibilities [Harari]
28. God / C. Attitudes to God / 1. Monotheism
In order to explain both order and evil, a single evil creator is best, but no one favours that [Harari]
29. Religion / A. Polytheistic Religion / 1. Animism
Animism is belief that every part of nature is aware and feeling, and can communicate [Harari]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
Most polytheist recognise one supreme power or law, behind the various gods [Harari]
Polytheism is open-minded, and rarely persecutes opponents [Harari]
Mythologies are usual contracts with the gods, exchanging devotion for control of nature [Harari]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
Dualist religions see everything as a battleground of good and evil forces [Harari]
Dualist religions say the cosmos is a battleground, so can’t explain its order [Harari]
Manichaeans and Gnostics: good made spirit, evil made flesh [Harari]
29. Religion / B. Monotheistic Religion / 1. Monotheistic Religion
Monotheism appeared in Egypt in 1350 BCE, when the god Aten was declared supreme [Harari]