Combining Texts

All the ideas for 'On Second-Order Logic', 'Metaphysics of Morals I: Doctrine of Right' and 'Symbolic Reasoning'

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21 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Because there is only one human reason, there can only be one true philosophy from principles [Kant]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The null class is the class with all the non-existents as its members [MacColl, by Lackey]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
We are equipped with the a priori intuitions needed for the concept of right [Kant]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
A power-based state of nature may not be unjust, but there is no justice without competent judges [Kant]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
Monarchs have the highest power; autocrats have complete power [Kant]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
Hereditary nobility has not been earned, and probably won't be earned [Kant]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Actions are right if the maxim respects universal mutual freedoms [Kant]
24. Political Theory / D. Ideologies / 12. Feminism
Women have no role in politics [Kant]
25. Social Practice / B. Equalities / 3. Legal equality
Equality is not being bound in ways you cannot bind others [Kant]
25. Social Practice / C. Rights / 3. Alienating rights
In the contract people lose their rights, but immediately regain them, in the new commonwealth [Kant]
25. Social Practice / C. Rights / 4. Property rights
If someone has largely made something, then they own it [Kant]
25. Social Practice / D. Justice / 1. Basis of justice
Human life is pointless without justice [Kant]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Justice asserts the death penalty for murder, from a priori laws [Kant]
25. Social Practice / E. Policies / 2. Religion in Society
The church has a political role, by offering a supreme power over people [Kant]