Combining Texts

All the ideas for 'Logic (Port-Royal Art of Thinking)', 'Moral Beliefs' and 'A Specimen of Discoveries'

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13 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason
The two basics of reasoning are contradiction and sufficient reason [Leibniz]
     Full Idea: The two first principles of reasoning are: the principle of contradiction, and the principle of the need for giving a reason.
     From: Gottfried Leibniz (A Specimen of Discoveries [1686], p.75)
     A reaction: Could animals have any reasoning ability (say, in solving a physical problem)? Leibniz's criteria both require language. Note the overlapping of the principle of sufficient reason (there IS a reason) with the contractual idea of GIVING reasons.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
     Full Idea: I can start with a triangle, and rise by degrees to all straight-lined figures and to extension itself. The lower degree will include the higher degree. Since the higher degree is less determinate, it can represent more things.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
     A reaction: [compressed] This attempts to explain the generalising ability of abstraction cited in Idea 10501. If you take a complex object and eliminate features one by one, it can only 'represent' more particulars; it could hardly represent fewer.
12. Knowledge Sources / B. Perception / 3. Representation
We can only know the exterior world via our ideas [Arnauld,A/Nicole,P]
     Full Idea: We can have knowledge of what is outside us only through the mediation of ideas in us.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], p.63), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc'
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
     Full Idea: The form is what renders a thing such and distinguishes it from others, whether it is a being really distinct from the matter, according to the Schools, or whether it is only the arrangement of the parts. By this form one must explain its properties.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], III.18 p240), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 27.6
     A reaction: If we ask 'what explains the properties of this thing' it is hard to avoid coming up with something that might be called the 'form'. Note that they allow either substantial or corpuscularian forms. It is hard to disagree with the idea.
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P]
     Full Idea: The mind cannot perfectly understand things that are even slightly composite unless it considers them a part at a time. ...This is generally called knowing by abstraction. (..the human body, for example).
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
     A reaction: This adds the interesting thought that the mind is forced to abstract, rather than abstraction being a luxury extra feature. Knowledge through analysis is knowledge by abstraction. Also a nice linking of abstraction to epistemology.
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
     Full Idea: If I draw an equilateral triangle on a piece of paper, ..I shall have an idea of only a single triangle. But if I ignore all the particular circumstances and focus on the three equal lines, I will be able to represent all equilateral triangles.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
     A reaction: [compressed] They observed that we grasp composites through their parts, and now that we can grasp generalisations through particulars, both achieved by the psychological act of abstraction, thus showing its epistemological power.
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P]
     Full Idea: Geometers by no means assume that there are lines without width or surfaces without depth. They only think it is possible to consider the length without paying attention to the width. We can measure the length of a path without its width.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
     A reaction: A nice example which makes the point indubitable. The modern 'rigorous' account of abstraction that starts with Frege seems to require more than one object, in order to derive abstractions like direction or number. Path widths are not comparatives.
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Assume that mind and body follow their own laws, but God has harmonised them [Leibniz]
     Full Idea: Why not assume that God initially created the soul and body with so much ingenuity that, whilst each follows its own laws and properties and operations, all thing agree most beautifull among themselves? This is the 'hypothesis of concomitance'.
     From: Gottfried Leibniz (A Specimen of Discoveries [1686], p.80)
     A reaction: They may be in beautifully planned harmony, but how do we know that they are in harmony? Presumably their actions must be compared, and God would even have to harmonise the comparison. Parallelism seems to imply epiphenomenalism or idealism.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
Moral norms are objective, connected to facts about human goods [Foot, by Hacker-Wright]
     Full Idea: In her early work she defends the objectivity of moral norms, demonstrating their essential connection to facts about what is good for human beings.
     From: report of Philippa Foot (Moral Beliefs [1959]) by John Hacker-Wright - Philippa Foot's Moral Thought Intro
     A reaction: I don't think she ever gave up this idea, which strikes me as thoroughly Aristotelian. The issue is how to understand what is good for us.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Morality gives everyone reasons to act, irrespective of their desires [Foot, by Hacker-Wright]
     Full Idea: In her early work she also defends moral rationalism, which is the idea that morality gives reasons for action to everyone, even those who lack the desire to do what is right.
     From: report of Philippa Foot (Moral Beliefs [1959]) by John Hacker-Wright - Philippa Foot's Moral Thought Intro
     A reaction: Evidently a rejection of the Humean view that only a desire can motivate action, including moral action. There is an ongoing debate about whether reasons can cause anything, or motivate anything. I think the contents of reasons pull us towards action.
We all have reason to cultivate the virtues, even when we lack the desire [Foot, by Hacker-Wright]
     Full Idea: Foot advocates the view that anyone has reason to cultivate the virtues, even if they lack the desire to do so at a given moment.
     From: report of Philippa Foot (Moral Beliefs [1959], Pt II) by John Hacker-Wright - Philippa Foot's Moral Thought 2 'Concepts'
     A reaction: The view which she soon abandoned, but then returned to later. It specifically repudiates the view of Hume, that only desires can motivate. I'm unsure, because the concept of 'reason' strikes me as too imprecise. She sees self-interest as a reason.
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The meaning of 'good' and other evaluations must include the object to which they attach [Foot]
     Full Idea: There is no describing the evaluative meaning of 'good', evaluation, commending, or anything of the sort, without fixing the object to which they are supposed to be attached.
     From: Philippa Foot (Moral Beliefs [1959], p.112)
     A reaction: I go further, and say that a specification of the feature(s) of the object that produce the value must also be available (if requested). 'That's a good car, but I've no idea why' makes no sense. 'Apparently that's a good car', if other people know why.
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
God doesn't decide that Adam will sin, but that sinful Adam's existence is to be preferred [Leibniz]
     Full Idea: God does not decide whether Adam should sin, but whether that series of things in which there is an Adam whose perfect individual notion involves sin should nevertheless be preferred to others.
     From: Gottfried Leibniz (A Specimen of Discoveries [1686], p.78)
     A reaction: Compare whether the person responsible for setting a road speed limit is responsible for subsequent accidents. Leibniz's belief that the world could have been made no better than it is (by an omnipotent being) strikes me as blind faith, not an argument.