Combining Texts

All the ideas for 'What are Sets and What are they For?', 'The Intelligence of Evil' and 'Could There Be Unicorns?'

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34 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
There is no longer anything on which there is nothing to say [Baudrillard]
2. Reason / A. Nature of Reason / 5. Objectivity
The task of philosophy is to unmask the illusion of objective reality [Baudrillard]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Drunken boat pilots are less likely to collide than clearly focused ones [Baudrillard]
2. Reason / C. Styles of Reason / 1. Dialectic
Instead of thesis and antithesis leading to synthesis, they now cancel out, and the conflict is levelled [Baudrillard]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
It was realised that possible worlds covered all modal logics, if they had a structure [Dummett]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic
If something is only possible relative to another possibility, the possibility relation is not transitive [Dummett]
Relative possibility one way may be impossible coming back, so it isn't symmetrical [Dummett]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / d. System T
If possibilitiy is relative, that might make accessibility non-transitive, and T the correct system [Dummett]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
In S4 the actual world has a special place [Dummett]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
The empty set is something, not nothing! [Oliver/Smiley]
We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
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
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
If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
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
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
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
Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
7. Existence / D. Theories of Reality / 3. Reality
Without God we faced reality: what do we face without reality? [Baudrillard]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
Nothing is true, but everything is exact [Baudrillard]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Possible worlds aren't how the world might be, but how a world might be, given some possibility [Dummett]
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
If possible worlds have no structure (S5) they are equal, and it is hard to deny them reality [Dummett]
16. Persons / F. Free Will / 5. Against Free Will
There is no need to involve the idea of free will to make choices about one's life [Baudrillard]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
In modern times, being useless is the essential aesthetic ingredient for an object [Baudrillard]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
Good versus evil has been banefully reduced to happiness versus misfortune [Baudrillard]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
To explain generosity in a person, you must understand a generous action [Dummett]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
Whole populations are terrorist threats to authorities, who unite against them [Baudrillard]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
People like democracy because it means they can avoid power [Baudrillard]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Only in the last 200 years have people demanded the democratic privilege of being individuals [Baudrillard]
25. Social Practice / E. Policies / 5. Education / d. Study of history
The arrival of the news media brought history to an end [Baudrillard]
25. Social Practice / F. Life Issues / 4. Suicide
Suicide is ascribed to depression, with the originality of the act of will ignored [Baudrillard]
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
Generalised talk of 'natural kinds' is unfortunate, as they vary too much [Dummett]
28. God / B. Proving God / 2. Proofs of Reason / d. Pascal's Wager
Pascal says secular life is acceptable, but more fun with the hypothesis of God [Baudrillard]