Combining Texts

All the ideas for 'On Duties ('De Officiis')', 'Truthmakers' and 'Elements of Set Theory'

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31 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
21405 Cicero sees wisdom in terms of knowledge, but earlier Stoics saw it as moral [Cicero, by Long]
1. Philosophy / A. Wisdom / 2. Wise People
20871 Unfortunately we choose a way of life before we are old enough to think clearly [Cicero]
3. Truth / A. Truth Problems / 2. Defining Truth
18486 We might define truth as arising from the truth-maker relation [MacBride]
3. Truth / B. Truthmakers / 1. For Truthmakers
18484 Phenomenalists, behaviourists and presentists can't supply credible truth-makers [MacBride]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
18466 If truthmaking is classical entailment, then anything whatsoever makes a necessary truth [MacBride]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
18481 Maximalism follows Russell, and optimalism (no negative or universal truthmakers) follows Wittgenstein [MacBride]
18473 'Maximalism' says every truth has an actual truthmaker [MacBride]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
18483 The main idea of truth-making is that what a proposition is about is what matters [MacBride]
3. Truth / B. Truthmakers / 6. Making Negative Truths
18479 There are different types of truthmakers for different types of negative truth [MacBride]
18477 There aren't enough positive states out there to support all the negative truths [MacBride]
3. Truth / B. Truthmakers / 8. Making General Truths
18482 Optimalists say that negative and universal are true 'by default' from the positive truths [MacBride]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
18485 Even idealists could accept truthmakers, as mind-dependent [MacBride]
18474 Does 'this sentence has no truth-maker' have a truth-maker? Reductio suggests it can't have [MacBride]
18490 Maybe 'makes true' is not an active verb, but just a formal connective like 'because'? [MacBride]
18493 Truthmaker talk of 'something' making sentences true, which presupposes objectual quantification [MacBride]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
13201 ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton]
13206 A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton]
13204 The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
13200 Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton]
13199 The empty set may look pointless, but many sets can be constructed from it [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
13203 The singleton is defined using the pairing axiom (as {x,x}) [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13202 Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13205 We can only define functions if Choice tells us which items are involved [Enderton]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
18489 Connectives link sentences without linking their meanings [MacBride]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
18476 'A is F' may not be positive ('is dead'), and 'A is not-F' may not be negative ('is not blind') [MacBride]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
18480 Maybe it only exists if it is a truthmaker (rather than the value of a variable)? [MacBride]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
18471 Different types of 'grounding' seem to have no more than a family resemblance relation [MacBride]
18472 Which has priority - 'grounding' or 'truth-making'? [MacBride]
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
18475 Russell allows some complex facts, but Wittgenstein only allows atomic facts [MacBride]
10. Modality / A. Necessity / 6. Logical Necessity
18478 Wittgenstein's plan to show there is only logical necessity failed, because of colours [MacBride]
23. Ethics / D. Deontological Ethics / 3. Universalisability
6031 The essence of propriety is consistency [Cicero]