Combining Texts

All the ideas for 'Logical Consequence', 'Intro to 'The Reason's Proper Study'' and 'Eudemian Ethics'

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60 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
Contrary statements can both be reasonable, if they are meant in two different ways [Aristotle]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox
If 'x is heterological' iff it does not apply to itself, then 'heterological' is heterological if it isn't heterological [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
The incompletability of formal arithmetic reveals that logic also cannot be completely characterized [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If structures are relative, this undermines truth-value and objectivity [Hale/Wright]
The structural view of numbers doesn't fit their usage outside arithmetical contexts [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
The thesis of the Form of the Good (or of anything else) is verbal and vacuous [Aristotle]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Objects just are what singular terms refer to [Hale/Wright]
10. Modality / C. Sources of Modality / 6. Necessity from Essence
The two right angles of a triangle necessitate that a quadrilateral has four [Aristotle]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Knowing is having knowledge; understanding is using knowledge [Aristotle]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Courage from spirit is natural and unconquerable, as seen in the young [Aristotle]
Whether the mind has parts is irrelevant, since it obviously has distinct capacities [Aristotle]
16. Persons / F. Free Will / 3. Constraints on the will
A man is the cause of what is within his power, and what he causes is in his power [Aristotle]
16. Persons / F. Free Will / 4. For Free Will
Only a human being can be a starting point for an action [Aristotle]
18. Thought / A. Modes of Thought / 3. Emotions / d. Emotional feeling
Some emotional states are too strong for human nature [Aristotle]
18. Thought / A. Modes of Thought / 3. Emotions / g. Controlling emotions
Nearly all the good and bad states of character are concerned with feelings [Aristotle]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstracted objects are not mental creations, but depend on equivalence between given entities [Hale/Wright]
19. Language / E. Analyticity / 2. Analytic Truths
Many conceptual truths ('yellow is extended') are not analytic, as derived from logic and definitions [Hale/Wright]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Akrasia is the clash of two feelings - goodness and pleasure [Aristotle]
20. Action / C. Motives for Action / 2. Acting on Beliefs / a. Acting on beliefs
Choice results when deliberation brings together an opinion with an inclination [Aristotle]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Unlike in inanimate things, in animate things actions have more than one starting point [Aristotle]
The deliberative part of the soul discerns explanatory causes [Aristotle]
20. Action / C. Motives for Action / 4. Responsibility for Actions
An action is voluntary when it is accompanied by thought of some kind [Aristotle]
We are responsible if our actions reflect our motivation [Aristotle, by Frede,M]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Acts are voluntary if done knowingly, by the agent, and in his power to avoid it [Aristotle]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
What is natural for us is either there at birth, or appears by normal processes [Aristotle]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
No one would choose life just for activities not done for their own sake [Aristotle]
22. Metaethics / B. Value / 2. Values / b. Successful function
Wearing a shoe is its intrinsic use, and selling it (as a shoe) is its coincidental use [Aristotle]
22. Metaethics / B. Value / 2. Values / d. Health
Everything seeks, not a single good, but its own separate good [Aristotle]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
We judge people from their deeds because we cannot see their choices (which matter more) [Aristotle]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Horses, birds and fish are not happy, lacking a divine aspect to their natures [Aristotle]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness involves three things, of which the greatest is either wisdom, virtue, or pleasure [Aristotle]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Virtue is different from continence [Aristotle]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
Excellence is the best state of anything (like a cloak) which has an employment or function [Aristotle]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Character (éthos) is developed from habit (ethos) [Aristotle]
Character virtues (such as courage) are of the non-rational part, which follows the rational part [Aristotle]
Character is shown by what is or is not enjoyed, and virtue chooses the mean among them [Aristotle]
We judge character not by their actions, but by their reasons for actions [Aristotle]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
People sometimes exhibit both extremes together, but the mean is contrary to both of them [Aristotle]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / h. Right feelings
Possessors of a virtue tend to despise what reason shows to be its opposite [Aristotle]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Greatness of soul produces all the virtues - and vice versa [Aristotle]
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
If someone just looks at or listens to beautiful things, they would not be thought intemperate [Aristotle]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Courage follows reason, which tells us to choose what is noble [Aristotle]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
Honour depends on what it is for, and whether it is bestowed by worthy people [Aristotle]
23. Ethics / C. Virtue Theory / 4. External Goods / a. External goods
Goods in the soul are more worthy than those outside it, as everybody wants them [Aristotle]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
Friendship cannot be immediate; it takes time, and needs testing [Aristotle]
Decent people can be friends with base people [Aristotle]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The main function of politics is to produce friendship [Aristotle]
25. Social Practice / D. Justice / 1. Basis of justice
The best cure for mutual injustice is friendship [Aristotle]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
It is folly not to order one's life around some end [Aristotle]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
Eyes could be used for a natural purpose, or for unnatural seeing, or for a non-seeing activity [Aristotle]
26. Natural Theory / A. Speculations on Nature / 3. Natural Function
Each thing's function is its end [Aristotle]