Combining Texts

All the ideas for 'Summa totius logicae', 'Mathematics is Megethology' and 'Causal Relations'

expand these ideas     |    start again     |     specify just one area for these texts


27 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
The best way to do ontology is to make sense of our normal talk [Davidson]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
From an impossibility anything follows [William of Ockham]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
A proposition is true if its subject and predicate stand for the same thing [William of Ockham]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Ockham had an early axiomatic account of truth [William of Ockham, by Halbach]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
5. Theory of Logic / G. Quantification / 1. Quantification
The word 'every' only signifies when added to a term such as 'man', referring to all men [William of Ockham]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Just as unity is not a property of a single thing, so numbers are not properties of many things [William of Ockham]
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
The words 'thing' and 'to be' assert the same idea, as a noun and as a verb [William of Ockham]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
If we don't assume that events exist, we cannot make sense of our common talk [Davidson]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
Universals are single things, and only universal in what they signify [William of Ockham]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
I say that absolutely any things can have a mereological fusion [Lewis]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
If essence and existence were two things, one could exist without the other, which is impossible [William of Ockham]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Explanations typically relate statements, not events [Davidson]
19. Language / D. Propositions / 4. Mental Propositions
Some concepts for propositions exist only in the mind, and in no language [William of Ockham]
26. Natural Theory / C. Causation / 1. Causation
Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos]