Combining Texts

All the ideas for 'What is Logic?st1=Ian Hacking', 'Tractatus Theologico-Politicus' and 'Shame and Necessity'

expand these ideas     |    start again     |     specify just one area for these texts


54 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason
Without reason and human help, human life is misery [Spinoza]
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 / F. Free Will / 2. Sources of Free Will
People are only free if they are guided entirely by reason [Spinoza]
16. Persons / F. Free Will / 5. Against Free Will
There is only a problem of free will if you think the notion of 'voluntary' can be metaphysically deepened [Williams,B]
It is an absurd Kantian idea that at the limit rationality and freedom coincide [Williams,B]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
We judge weakness of will by an assessment after the event is concluded [Williams,B, by Cottingham]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Responsibility involves cause, intention, state of mind, and response after the event [Williams,B]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
In bad actions, guilt points towards victims, and shame to the agent [Williams,B]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Greek moral progress came when 'virtue' was freed from social status [Williams,B]
23. Ethics / D. Deontological Ethics / 2. Duty
The modern idea of duty is unknown in archaic Greece [Williams,B]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
If the moral self is seen as characterless, then other people have a very limited role in our moral lives [Williams,B]
If reason cannot lead people to good, we must hope they have an internal voice [Williams,B]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Peoples are created by individuals, not by nature, and only distinguished by language and law [Spinoza]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
In nature everything has an absolute right to do anything it is capable of doing [Spinoza]
Natural rights are determined by desire and power, not by reason [Spinoza]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Society exists to extend human awareness [Spinoza, by Watson]
The state aims to allow personal development, so its main purpose is freedom [Spinoza]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
Sovereignty must include the power to make people submit to it [Spinoza]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
Kings tend to fight wars for glory, rather than for peace and liberty [Spinoza]
Deposing a monarch is dangerous, because the people are used to royal authority [Spinoza]
Monarchs are always proud, and can't back down [Spinoza]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
Every state is more frightened of its own citizens than of external enemies [Spinoza]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Democracy is a legitimate gathering of people who do whatever they can do [Spinoza]
24. Political Theory / D. Ideologies / 10. Theocracy
Allowing religious ministers any control of the state is bad for both parties [Spinoza]
If religion is law, then piety is justice, impiety is crime, and non-believers must leave [Spinoza]
25. Social Practice / A. Freedoms / 1. Slavery
Slavery is not just obedience, but acting only in the interests of the master [Spinoza]
25. Social Practice / A. Freedoms / 2. Freedom of belief
Government is oppressive if opinions can be crimes, because people can't give them up [Spinoza]
Without liberty of thought there is no trust in the state, and corruption follows [Spinoza]
25. Social Practice / A. Freedoms / 3. Free speech
Treason may be committed as much by words as by deeds [Spinoza]
25. Social Practice / A. Freedoms / 6. Political freedom
The freest state is a rational one, where people can submit themselves to reason [Spinoza]
25. Social Practice / C. Rights / 1. Basis of Rights
Spinoza wanted democracy based on individual rights, and is thus the first modern political philosopher [Stewart,M on Spinoza]
The sovereignty has absolute power over citizens [Spinoza]
25. Social Practice / C. Rights / 3. Alienating rights
Forming a society meant following reason, and giving up dangerous appetites and mutual harm [Spinoza]
People only give up their rights, and keep promises, if they hope for some greater good [Spinoza]
Once you have given up your rights, there is no going back [Spinoza]
In democracy we don't abandon our rights, but transfer them to the majority of us [Spinoza]
No one, in giving up their power and right, ceases to be a human being [Spinoza]
Everyone who gives up their rights must fear the recipients of them [Spinoza]
The early Hebrews, following Moses, gave up their rights to God alone [Spinoza]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
The order of nature does not prohibit anything, and allows whatever appetite produces [Spinoza]
25. Social Practice / E. Policies / 2. Religion in Society
State and religious law can clash, so the state must make decisions about religion [Spinoza]
29. Religion / B. Monotheistic Religion / 2. Judaism
Hebrews were very hostile to other states, who had not given up their rights to God [Spinoza]
29. Religion / B. Monotheistic Religion / 5. Bible
The Bible has nothing in common with reasoning and philosophy [Spinoza]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
There is a problem of evil only if you expect the world to be good [Williams,B]