Combining Philosophers

All the ideas for Alex Orenstein, Ori Simchen and W. David Ross

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58 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Sentential logic is consistent (no contradictions) and complete (entirely provable) [Orenstein]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axiomatization simply picks from among the true sentences a few to play a special role [Orenstein]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' [Orenstein]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen]
The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen]
BF implies that if W possibly had a child, then something is possibly W's child [Simchen]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Unlike elementary logic, set theory is not complete [Orenstein]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology has been exploited by some nominalists to achieve the effects of set theory [Orenstein]
5. Theory of Logic / G. Quantification / 1. Quantification
Traditionally, universal sentences had existential import, but were later treated as conditional claims [Orenstein]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
The substitution view of quantification says a sentence is true when there is a substitution instance [Orenstein]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The logicists held that is-a-member-of is a logical constant, making set theory part of logic [Orenstein]
7. Existence / E. Categories / 3. Proposed Categories
Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism [Orenstein]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Serious Actualism says there are no facts at all about something which doesn't exist [Simchen]
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 / 1. Scientific Theory
The Principle of Conservatism says we should violate the minimum number of background beliefs [Orenstein]
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 / A. Nature of Meaning / 10. Denial of Meanings
People presume meanings exist because they confuse meaning and reference [Orenstein]
19. Language / C. Assigning Meanings / 3. Predicates
Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way [Orenstein]
19. Language / D. Propositions / 4. Mental Propositions
If two people believe the same proposition, this implies the existence of propositions [Orenstein]
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]