Combining Texts

All the ideas for 'fragments/reports', 'Logical Necessity' and 'Dialogues Concerning Natural Religion'

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37 ideas

2. Reason / E. Argument / 3. Analogy
An analogy begins to break down as soon as the two cases differ [Hume]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
The logic of metaphysical necessity is S5 [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt]
There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt]
We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Contradictions include 'This is red and not coloured', as well as the formal 'B and not-B' [Rumfitt]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt]
10. Modality / A. Necessity / 3. Types of Necessity
A distinctive type of necessity is found in logical consequence [Rumfitt, by Hale/Hoffmann,A]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity is when 'necessarily A' implies 'not-A is contradictory' [Rumfitt]
A logically necessary statement need not be a priori, as it could be unknowable [Rumfitt]
Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not [Rumfitt]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
If a world is a fully determinate way things could have been, can anyone consider such a thing? [Rumfitt]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
Events are baffling before experience, and obvious after experience [Hume]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA]
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
Analogy suggests that God has a very great human mind [Hume]
How can we pronounce on a whole after a brief look at a very small part? [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]
Creation is more like vegetation than human art, so it won't come from reason [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]
This Creator god might be an infant or incompetent or senile [Hume]
Order may come from an irrational source as well as a rational one [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]
The universe may be the result of trial-and-error [Hume]
From our limited view, we cannot tell if the universe is faulty [Hume]
Why would we infer an infinite creator from a finite creation? [Hume]