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All the ideas for 'Logical Consequence', 'Gorgias' and 'The Doctrine of Necessity Examined'

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38 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Is a gifted philosopher unmanly if he avoids the strife of the communal world? [Plato]
     Full Idea: Callicles: Even a naturally gifted philosopher isn't going to develop into a real man, because he's avoiding the heart of his community and the thick of the agora.
     From: Plato (Gorgias [c.387 BCE], 485d)
     A reaction: A serious charge against philosophy. An attraction of the subject is its purity, its necessity, its timelessness, and in some ways these are just nicer and easier and more understandable than the hard mess of real life. But understanding has to be good.
2. Reason / C. Styles of Reason / 2. Elenchus
In "Gorgias" Socrates is confident that his 'elenchus' will decide moral truth [Vlastos on Plato]
     Full Idea: In the 'Gorgias' Socrates is still supremely confident that the elenchus is the final arbiter of moral truth.
     From: comment on Plato (Gorgias [c.387 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.117
We should test one another, by asking and answering questions [Plato]
     Full Idea: Test me, and let yourself be tested as well, by asking and answering questions.
     From: Plato (Gorgias [c.387 BCE], 462a)
     A reaction: The idea must be to avoid wild speculation, by continually filtering ideas through rival critical intelligences. The best philosophical method ever devised.
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]
     Full Idea: 'Equivocation' is when the terms do not mean the same thing in the premises and in the conclusion.
     From: JC Beall / G Restall (Logical Consequence [2005], Intro)
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]
     Full Idea: Logic is purely formal either when it is invariant under permutation of object (Tarski), or when it has totally abstracted away from all contents, or it is the constitutive norms for thought.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: [compressed] The third account sounds rather woolly, and the second one sounds like a tricky operation, but the first one sounds clear and decisive, so I vote for Tarski.
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
     Full Idea: Technical work on logical consequence has either focused on proofs, where validity is the existence of a proof of the conclusions from the premises, or on models, which focus on the absence of counterexamples.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
     Full Idea: Two different views of logical consequence are necessary truth-preservation (based on modelling possible worlds; favoured by Realists), or truth-preservation based on the meanings of the logical vocabulary (differing in various models; for Anti-Realists).
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: Thus Dummett prefers the second view, because the law of excluded middle is optional. My instincts are with the first one.
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]
     Full Idea: A logical step is a 'material consequence' and not a formal one, if we need the contents as well as the structure or form.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
     Full Idea: If a conclusion follows from an empty collection of premises, it is true by logic alone, and is a 'logical truth' (sometimes a 'tautology'), or, in the proof-centred approach, 'theorems'.
     From: JC Beall / G Restall (Logical Consequence [2005], 4)
     A reaction: These truths are written as following from the empty set Φ. They are just implications derived from the axioms and the rules.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
     Full Idea: Models are abstract mathematical structures that provide possible interpretations for each of the non-logical primitives in a formal language.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
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]
     Full Idea: There are many proof-systems, the main being Hilbert proofs (with simple rules and complex axioms), or natural deduction systems (with few axioms and many rules, and the rules constitute the meaning of the connectives).
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
10. Modality / B. Possibility / 7. Chance
Is chance just unknown laws? But the laws operate the same, whatever chance occurs [Peirce]
     Full Idea: Chance is the name for some law that is unknown to us? If you say 'each die moves under the influence of precise mechanical laws', it seems to me it is not these laws which made the tie turn up sixes, for the laws act the same when other throws come up.
     From: Charles Sanders Peirce (The Doctrine of Necessity Examined [1892], p.333)
19. Language / F. Communication / 1. Rhetoric
Rhetoric is irrational about its means and its ends [Plato]
     Full Idea: Rhetoric is a knack, because it lacks rational understanding of its object or what it dispenses (and can't explain the reason anything happens).
     From: Plato (Gorgias [c.387 BCE], 465a)
     A reaction: If there are cunning people who have the wrong sort of intelligence for morality, there must be cunning users of rhetoric who know exactly what they are doing.
Rhetoric can produce conviction, but not educate people about right and wrong [Plato]
     Full Idea: Rhetoric is an agent of the kind of persuasion which is designed to produce conviction, but not to educate people about right and wrong.
     From: Plato (Gorgias [c.387 BCE], 455a)
     A reaction: Surely there must be good rhetoric (or at least it is an open question)?
20. Action / B. Preliminaries of Action / 1. Intention to Act / b. Types of intention
All activity aims at the good [Plato]
     Full Idea: All activity aims at the good.
     From: Plato (Gorgias [c.387 BCE], 499e)
     A reaction: He includes non-conscious activity, so this is the 'teleological' view of nature, which seems a bit optimistic to the modern mind.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
Moral rules are made by the weak members of humanity [Plato]
     Full Idea: Callicles: It's the weaklings who constitute the majority of the human race who make the rules.
     From: Plato (Gorgias [c.387 BCE], 483b)
     A reaction: An aristocrat bemoans democracy. Presumably the qualification for being a 'weakling' is shortage of money. How strong are the scions of the aristocrats?
22. Metaethics / B. Value / 2. Values / e. Death
Is there any such thing as death among the lower organisms? [Peirce]
     Full Idea: Among some of the lower organisms, it is a moot point with biologists whether there be anything which ought to be called death.
     From: Charles Sanders Peirce (The Doctrine of Necessity Examined [1892], p.334)
     A reaction: The point, presumably, is that one phase of an organisms moves into another, and the 'individuals' are not distinct enough for their 'death' to be a significant transition. A nicely mind-expanding thought.
22. Metaethics / B. Value / 2. Values / h. Fine deeds
A good person is bound to act well, and this brings happiness [Plato]
     Full Idea: A good person is bound to do whatever he does well and successfully, and success brings fulfilment and happiness.
     From: Plato (Gorgias [c.387 BCE], 507c)
     A reaction: Not how we would see it, I guess, but this is the Greek idea that a good person is one who functions well. Anyone who functions well is probably having a good time.
22. Metaethics / B. Value / 2. Values / i. Self-interest
Is it natural to simply indulge our selfish desires? [Plato]
     Full Idea: Callicles: Nature says the only authentic way of life is to do nothing to hinder or restrain the expansion of one's desires.
     From: Plato (Gorgias [c.387 BCE], 491e)
     A reaction: Sounds like the natural desires of a young single man. Parents and spouses have natural desires that focus on other people's desires.
22. Metaethics / C. The Good / 1. Goodness / f. Good as pleasure
In slaking our thirst the goodness of the action and the pleasure are clearly separate [Plato]
     Full Idea: When we drink to quench thirst, we lose the distress of the thirst and the pleasure of drinking at the same moment, but one loss is good and the other bad, so the pleasure and the goodness must be separate.
     From: Plato (Gorgias [c.387 BCE], 497d)
     A reaction: This is open to the objection that the good of slaking one's thirst is a long-term pleasure, where the drinking is short-term, so pleasure is still the good.
Good should be the aim of pleasant activity, not the other way round [Plato]
     Full Idea: Good should be the goal of pleasant activities, rather than pleasure being the goal of good activities.
     From: Plato (Gorgias [c.387 BCE], 500a)
     A reaction: Nice. Not far off what Aristotle says on the topic. So what activities should we seek out? Narrow the pleasures down to the good ones, or narrow the good ones down to the pleasurable?
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Good and bad people seem to experience equal amounts of pleasure and pain [Plato]
     Full Idea: There is little to tell between good and bad people (e.g. cowards) in terms of how much pleasure and distress they experience.
     From: Plato (Gorgias [c.387 BCE], 498c)
     A reaction: A very perceptive remark. If the good are people with empathy for others, then they may suffer more distress than the insensitive wicked.
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
In a fool's mind desire is like a leaky jar, insatiable in its desires, and order and contentment are better [Plato]
     Full Idea: In a fool's mind desire is a leaky jar, …which is an analogy for the mind's insatiability, showing we should prefer an orderly life, in which one is content with whatever is to hand, to a self-indulgent life of insatiable desire.
     From: Plato (Gorgias [c.387 BCE], 493b)
     A reaction: This points to an interesting paradox, that pleasure requires the misery of desire. And yet absence of desire is like death. An Aristotelian mean, of living according to nature, seems the escape route.
If happiness is the satisfaction of desires, then a life of scratching itches should be happiness [Plato]
     Full Idea: Socrates: I want to ask whether a lifetime spent scratching, itching and scratching, no end of scratching, is also a life of happiness.
     From: Plato (Gorgias [c.387 BCE], 494c)
     A reaction: There are plenty of people who think 'fun' is the main aim of life, and who fit what Socrates is referring to. We don't admire such a life, but not many people can be admired.
23. Ethics / A. Egoism / 2. Hedonism
Is the happiest state one of sensual, self-indulgent freedom? [Plato]
     Full Idea: Callicles: If a person has the means to live a life of sensual, self-indulgent freedom, there's no better or happier state of existence.
     From: Plato (Gorgias [c.387 BCE], 492c)
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Should we avoid evil because it will bring us bad consequences? [Plato]
     Full Idea: Socrates: We should avoid doing wrong because of all the bad consequences it will bring us.
     From: Plato (Gorgias [c.387 BCE], 480a)
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
I would rather be a victim of crime than a criminal [Plato]
     Full Idea: Socrates: If I had to choose between doing wrong and having wrong done to me, I'd prefer the latter to the former.
     From: Plato (Gorgias [c.387 BCE], 469c)
     A reaction: cf Democritus 68B45
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
Self-indulgent desire makes friendship impossible, because it makes a person incapable of co-operation [Plato]
     Full Idea: Self-indulgent desire makes a person incapable of co-operation, which is a prerequisite of friendship.
     From: Plato (Gorgias [c.387 BCE], 507e)
If absence of desire is happiness, then nothing is happier than a stone or a corpse [Plato]
     Full Idea: Callicles: If people who need nothing are happy, there would be nothing happier than a stone or a corpse.
     From: Plato (Gorgias [c.387 BCE], 492e)
     A reaction: We aren't really supposed to approve of Callicles, but to me this is a splendidly crushing western response to many of the ideals found in eastern philosophy.
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
A criminal is worse off if he avoids punishment [Plato]
     Full Idea: Socrates: A criminal is worse off if he doesn't pay the penalty, and continues to do wrong without getting punished.
     From: Plato (Gorgias [c.387 BCE], 472e)
Do most people praise self-discipline and justice because they are too timid to gain their own pleasure? [Plato]
     Full Idea: Callicles: Why do most people praise self-discipline and justice? Because their own timidity makes them incapable of satisfying their pleasures.
     From: Plato (Gorgias [c.387 BCE], 492a)
23. Ethics / C. Virtue Theory / 4. External Goods / b. Health
The popular view is that health is first, good looks second, and honest wealth third [Plato]
     Full Idea: I'm sure you know the list of human advantages in the party song: 'The very best is health, Second good looks, and third honest wealth'.
     From: Plato (Gorgias [c.387 BCE], 451e)
     A reaction: This invites the obvious question of why anyone wants these three things, with the implied answer of 'pleasure'. But we might want them even if we couldn't use them, implying pluralism.
24. Political Theory / B. Nature of a State / 1. Purpose of a State
As with other things, a good state is organised and orderly [Plato]
     Full Idea: As in every case (an artefact, a body, a mind, a creature), a good state is an organised and orderly state.
     From: Plato (Gorgias [c.387 BCE], 506e)
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
A good citizen won't be passive, but will redirect the needs of the state [Plato]
     Full Idea: The only responsibility of a good member of a community is altering the community's needs rather than going along with them.
     From: Plato (Gorgias [c.387 BCE], 517b)
25. Social Practice / B. Equalities / 1. Grounds of equality
Do most people like equality because they are second-rate? [Plato]
     Full Idea: Callicles: It's because most people are second-rate that they are happy for things to be distributed equally.
     From: Plato (Gorgias [c.387 BCE], 483c)
25. Social Practice / B. Equalities / 4. Economic equality
Does nature imply that it is right for better people to have greater benefits? [Plato]
     Full Idea: Callicles: We only have to look at nature to find evidence that it is right for better to have a greater share than worse.
     From: Plato (Gorgias [c.387 BCE], 483d)
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
If the world is just mechanical, its whole specification has no more explanation than mere chance [Peirce]
     Full Idea: The mechanical philosopher leaves the whole specification of the world utterly unaccounted for, which is pretty nearly as bad as to baldly attribute it to chance.
     From: Charles Sanders Peirce (The Doctrine of Necessity Examined [1892], p.337)
     A reaction: If now complete is even remotely available, then that doesn't seem to matter too much, but if there is one message modern physics teaches philosophy, it is that we should not give up on trying to answer the deeper questions.
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The more precise the observations, the less reliable appear to be the laws of nature [Peirce]
     Full Idea: Try to verify any law of nature, and you will find that the more precise your observations, the more certain they will be to show irregular departures from the law.
     From: Charles Sanders Peirce (The Doctrine of Necessity Examined [1892], p.331)
     A reaction: This nicely encapsulates modern doubts about whether the so-called 'laws' of nature actually capture what is going on in the real world.