Combining Texts

All the ideas for 'fragments/reports', 'Mathematics is Megethology' and 'Dialogues Concerning Natural Religion'

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37 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
2. Reason / E. Argument / 3. Analogy
An analogy begins to break down as soon as the two cases differ [Hume]
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]
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]
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]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
Events are baffling before experience, and obvious after experience [Hume]
28. God / A. Divine Nature / 3. Divine Perfections
We can't assume God's perfections are like our ideas or like human attributes [Hume]
28. God / B. Proving God / 1. Proof of God
The objects of theological reasoning are too big for our minds [Hume]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
No being's non-existence can imply a contradiction, so its existence cannot be proved a priori [Hume]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
A chain of events requires a cause for the whole as well as the parts, yet the chain is just a sum of parts [Hume]
If something must be necessary so that something exists rather than nothing, why can't the universe be necessary? [Hume]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The thing which contains order must be God, so see God where you see order [Hume]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
From our limited view, we cannot tell if the universe is faulty [Hume]
If the divine cause is proportional to its effects, the effects are finite, so the Deity cannot be infinite [Hume]
How can we pronounce on a whole after a brief look at a very small part? [Hume]
Why would we infer an infinite creator from a finite creation? [Hume]
Design cannot prove a unified Deity. Many men make a city, so why not many gods for a world? [Hume]
From a ship you would judge its creator a genius, not a mere humble workman [Hume]
This excellent world may be the result of a huge sequence of trial-and-error [Hume]
Humans renew their species sexually. If there are many gods, would they not do the same? [Hume]
Creation is more like vegetation than human art, so it won't come from reason [Hume]
This Creator god might be an infant or incompetent or senile [Hume]
Motion often begins in matter, with no sign of a controlling agent [Hume]
The universe could settle into superficial order, without a designer [Hume]
Ideas arise from objects, not vice versa; ideas only influence matter if they are linked [Hume]
A surprise feature of all products of 9 looks like design, but is actually a necessity [Hume]
Analogy suggests that God has a very great human mind [Hume]
The universe may be the result of trial-and-error [Hume]
Order may come from an irrational source as well as a rational one [Hume]