Combining Texts

All the ideas for 'Summa totius logicae', 'Knowledge and the Philosophy of Number' and 'The Right and the Good'

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57 ideas

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 / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
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 / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
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]
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 / 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]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
The goodness of opinions depends on their grounds, and corresponding degrees of conviction [Ross]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Knowledge is superior to opinion because it is certain [Ross]
12. Knowledge Sources / B. Perception / 7. Causal Perception
I prefer the causal theory to sense data, because sensations are events, not apprehensions [Ross]
14. Science / B. Scientific Theories / 5. Commensurability
Two goods may be comparable, although they are not commensurable [Ross]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Identical objects must have identical value [Ross]
19. Language / D. Propositions / 4. Mental Propositions
Some concepts for propositions exist only in the mind, and in no language [William of Ockham]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Aesthetic enjoyment combines pleasure with insight [Ross]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Beauty is neither objective nor subjective, but a power of producing certain mental events [Ross]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
Moral duties are as fundamental to the universe as the axioms of mathematics [Ross]
The beauty of a patch of colour might be the most important fact about it [Ross]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Ross said moral principles are self-evident from the facts, but not from pure thought [Ross, by Dancy,J]
The moral convictions of thoughtful educated people are the raw data of ethics [Ross]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
Value is held to be either a quality, or a relation (usually between a thing and a mind) [Ross]
The arguments for value being an objective or a relation fail, so it appears to be a quality [Ross]
22. Metaethics / B. Value / 1. Nature of Value / c. Objective value
The thing is intrinsically good if it would be good when nothing else existed [Ross]
All things being equal, we all prefer the virtuous to be happy, not the vicious [Ross]
22. Metaethics / B. Value / 1. Nature of Value / e. Means and ends
An instrumentally good thing might stay the same, but change its value because of circumstances [Ross]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
We can ask of pleasure or beauty whether they are valuable, but not of goodness [Ross]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The four goods are: virtue, pleasure, just allocation of pleasure, and knowledge [Ross]
The three intrinsic goods are virtue, knowledge and pleasure [Ross]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
'Right' and 'good' differ in meaning, as in a 'right action' and a 'good man' [Ross]
If there are two equally good acts, they may both be right, but neither a duty [Ross]
In the past 'right' just meant what is conventionally accepted [Ross]
Goodness is a wider concept than just correct ethical conduct [Ross]
Motives decide whether an action is good, and what is done decides whether it was right [Ross]
22. Metaethics / C. The Good / 1. Goodness / d. Good as virtue
Virtue is superior to pleasure, as pleasure is never a duty, but goodness is [Ross]
22. Metaethics / C. The Good / 1. Goodness / e. Good as knowledge
All other things being equal, a universe with more understanding is better [Ross]
Morality is not entirely social; a good moral character should love truth [Ross]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
We clearly value good character or understanding, as well as pleasure [Ross]
No one thinks it doesn't matter whether pleasure is virtuously or viciously acquired [Ross]
23. Ethics / B. Contract Ethics / 3. Promise Keeping
Promise-keeping is bound by the past, and is not concerned with consequences [Ross]
Promises create a new duty to a particular person; they aren't just a strategy to achieve well-being [Ross]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Prima facie duties rest self-evidently on particular circumstance [Ross]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
People lose their rights if they do not respect the rights of others [Ross]
23. Ethics / D. Deontological Ethics / 2. Duty
We should do our duty, but not from a sense of duty [Ross]
We like people who act from love, but admire more the people who act from duty [Ross]
Be faithful, grateful, just, beneficent, non-malevolent, and improve yourself [Ross, by PG]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
An act may be described in innumerable ways [Ross]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
We should use money to pay debts before giving to charity [Ross]
25. Social Practice / C. Rights / 1. Basis of Rights
Rights were originally legal, and broadened to include other things [Ross]
25. Social Practice / F. Life Issues / 6. Animal Rights
Rights can be justly claimed, so animals have no rights, as they cannot claim any [Ross]