Combining Texts

All the ideas for 'fragments/reports', 'Metaphysics of Morals I: Doctrine of Right' and 'First-order Logic, 2nd-order, Completeness'

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24 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]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
There are at least seven possible systems of semantics for second-order logic [Rossberg]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
A deductive system is only incomplete with respect to a formal semantics [Rossberg]
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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
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]