Combining Texts

All the ideas for 'fragments/reports', 'Metaphysics of Morals I: Doctrine of Right' and 'What are Sets and What are they For?'

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25 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
21406 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
14239 The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
14240 The empty set is something, not nothing! [Oliver/Smiley]
14241 We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
14242 Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
14243 The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14234 If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
14237 We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
14245 Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
14246 If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
14247 Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
21081 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
21082 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
21089 Monarchs have the highest power; autocrats have complete power [Kant]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
21086 Hereditary nobility has not been earned, and probably won't be earned [Kant]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
21080 Actions are right if the maxim respects universal mutual freedoms [Kant]
24. Political Theory / D. Ideologies / 12. Feminism
21083 Women have no role in politics [Kant]
25. Social Practice / B. Equalities / 3. Legal equality
21407 Equality is not being bound in ways you cannot bind others [Kant]
25. Social Practice / C. Rights / 3. Alienating rights
21084 In the contract people lose their rights, but immediately regain them, in the new commonwealth [Kant]
25. Social Practice / C. Rights / 4. Property rights
21090 If someone has largely made something, then they own it [Kant]
25. Social Practice / D. Justice / 1. Basis of justice
21087 Human life is pointless without justice [Kant]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
21088 Justice asserts the death penalty for murder, from a priori laws [Kant]
25. Social Practice / E. Policies / 2. Religion in Society
21085 The church has a political role, by offering a supreme power over people [Kant]
25. Social Practice / E. Policies / 5. Education / b. Education principles
13304 Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
20820 Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]