Combining Philosophers

All the ideas for Archimedes, Matthew Cobb and Hastings Rashdall

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8 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
15. Nature of Minds / A. Nature of Mind / 8. Brain
There is a single mouse neuron which has 862 inputs and 626 outputs [Cobb]
     Full Idea: Researchers have recently described a single inhibitory neuron in a region called the visual thalamus of the mouse - it has 862 input synapses and 626 output synapses.
     From: Matthew Cobb (The Idea of the Brain [2020], 11)
     A reaction: This is the kind of fact which philosophers of mind must be aware of when offering accounts of thought which are in danger of being simplistic.
The brain is not passive, and merely processing inputs; it is active, and intervenes in the world [Cobb]
     Full Idea: A number of scientists are now realising that, by viewing the brain as a computer that passively responds ot inputs and processes data, we forget that it is an active organ, part of the body intervening in the world.
     From: Matthew Cobb (The Idea of the Brain [2020], Intro)
     A reaction: I like any idea which reminds us that nature is intrinsically active, and not merely passive. Laws are in nature, not imposed on it. My preferred ontology, based on powers as fundamental, applies to the brain, as well as to physics. No free will needed.
16. Persons / B. Nature of the Self / 2. Ethical Self
Morality requires a minimum commitment to the self [Rashdall]
     Full Idea: A bare minimum of metaphysical belief about the self is found to be absolutely presupposed in the very idea of morality.
     From: Hastings Rashdall (Theory of Good and Evil [1907], II.III.I.4)
     A reaction: This may not be true of virtue theory, where we could have a whole creature which lacked any sense of personhood, but yet had clear virtues and vices in its social functioning. Even if choices are central to morality, that might not need a self.
22. Metaethics / B. Value / 1. Nature of Value / e. Means and ends
All moral judgements ultimately concern the value of ends [Rashdall]
     Full Idea: All moral judgements are ultimately judgements as to the value of ends.
     From: Hastings Rashdall (Theory of Good and Evil [1907], VII.I)
     A reaction: I am increasingly struck by this, especially when observing that it is the great gap in Kant's theory. For some odd reason, he gives being rational the highest possible value. Why? Nietzsche is good on this. 'Eudaimonia' seems a good start, to me.
23. Ethics / E. Utilitarianism / 6. Ideal Utilitarianism
Ideal Utilitarianism is teleological but non-hedonistic; the aim is an ideal end, which includes pleasure [Rashdall]
     Full Idea: My view, called Ideal Utilitarianism, combines the utilitarian principle that Ethics must be teleological with a non-hedonistic view of ethical ends; actions are right or wrong as they produce an ideal end, which includes, but is not limited to, pleasure.
     From: Hastings Rashdall (Theory of Good and Evil [1907], VII.I)
     A reaction: I certainly think that if you are going to be a consequentialist, then it is ridiculous to limit the end to pleasure, as it is an 'open question' as to whether we judge pleasures or pains to be good or bad. I am fond of beauty, goodness and truth, myself.
28. God / B. Proving God / 2. Proofs of Reason / c. Moral Argument
Conduct is only reasonable or unreasonable if the world is governed by reason [Rashdall]
     Full Idea: Absolutely reasonable or unreasonable conduct could not exist in a world which was not itself the product of reason or governed by its dictates.
     From: Hastings Rashdall (Theory of Good and Evil [1907], II.III.I.4)
Absolute moral ideals can't exist in human minds or material things, so their acceptance implies a greater Mind [Rashdall, by PG]
     Full Idea: An absolute moral ideal cannot exist in material things, or in the minds of individual people, so belief in it requires belief in a Mind which contains the ideal and is its source.
     From: report of Hastings Rashdall (Theory of Good and Evil [1907], II.III.I.4) by PG - Db (ideas)