Combining Texts

All the ideas for 'Number Determiners, Numbers, Arithmetic', 'Dialogues Concerning Natural Religion' and 'Preface to Great Instauration (Renewal)'

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38 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy is like a statue which is worshipped but never advances [Bacon]
2. Reason / E. Argument / 3. Analogy
An analogy begins to break down as soon as the two cases differ [Hume]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An adjective contributes semantically to a noun phrase [Hofweber]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers for domains and for inference come apart if there are no entities [Hofweber]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
'2 + 2 = 4' can be read as either singular or plural [Hofweber]
What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Why is arithmetic hard to learn, but then becomes easy? [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber]
12. Knowledge Sources / B. Perception / 1. Perception
The senses deceive, but also show their own errors [Bacon]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
Events are baffling before experience, and obvious after experience [Hume]
14. Science / A. Basis of Science / 3. Experiment
Nature is revealed when we put it under pressure rather than observe it [Bacon]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Our minds are at their best when reasoning about objects [Hofweber]
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]
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]
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]
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]