Combining Texts

All the ideas for 'The Roots of Reference', 'Principles of Philosophy of the Future' and 'Number Determiners, Numbers, Arithmetic'

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35 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Only that which can be an object of religion is an object of philosophy [Feuerbach]
     Full Idea: Only that which can be an object of religion is an object of philosophy.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §35)
     A reaction: The temple of Pythagoras at Solon sounds like an embodiment of this idea. The obvious candidate would be truth, to which philosophers must show almost religious respect. Some what motivates the philosophy of a minimalist (Idea 3750)?
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Philosophy should not focus on names, but on the determined nature of things [Feuerbach]
     Full Idea: Philosophy need not care about the conceptions that common usage or misuse attaches to a name; philosophy, however, has to bind itself to the determined nature of things, whose signs are names.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §23)
     A reaction: I like this attempt to nip ordinary language philosophy in the bud. Indeed I like the notion of philosophy binding itself to the 'determined nature of things' (which sound like essences to me), rather than to their names or descriptions.
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Modern philosophy begins with Descartes' abstraction from sensation and matter [Feuerbach]
     Full Idea: The beginning of Descartes' philosophy, namely, the abstraction from sensation and matter, is the beginning of modern speculative philosophy.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §10)
     A reaction: In Britain it might be said that modern philosophy begins with a rebellion against Descartes' move. Feuerbach is charting the movement towards idealism.
Empiricism is right about ideas, but forgets man himself as one of our objects [Feuerbach]
     Full Idea: Empiricism rightly derives the origin of our ideas from the senses; only it forgets that the most important and essential object of man is man himself.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §41)
     A reaction: This seems to nicely pinpoint the objection of most 'continental' philosophy to British empiricism and analytic philosophy. It seems to point towards Husserl's phenomenology as the next step. It is true that empiricists divided person from world.
2. Reason / B. Laws of Thought / 1. Laws of Thought
The laws of reality are also the laws of thought [Feuerbach]
     Full Idea: The laws of reality are also the laws of thought.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §45)
     A reaction: I like this a lot, though it runs contrary to a lot of conventionalist thinking in the twentieth century. Russell, though, agrees with Feuerbach (Idea 5405). There is not much point to thought if it doesn't plug into reality at the roots.
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An adjective contributes semantically to a noun phrase [Hofweber]
     Full Idea: The semantic value of a determiner (an adjective) is a function from semantic values to nouns to semantic values of full noun phrases.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §3.1)
     A reaction: This kind of states the obvious (assuming one has a compositional view of sentences), but his point is that you can't just eliminate adjectival uses of numbers by analysing them away, as if they didn't do anything.
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers for domains and for inference come apart if there are no entities [Hofweber]
     Full Idea: Quantifiers have two functions in communication - to range over a domain of entities, and to have an inferential role (e.g. F(t)→'something is F'). In ordinary language these two come apart for singular terms not standing for any entities.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §6.3)
     A reaction: This simple observations seems to me to be wonderfully illuminating of a whole raft of problems, the sort which logicians get steamed up about, and ordinary speakers don't. Context is the key to 90% of philosophical difficulties (?). See Idea 10008.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
'2 + 2 = 4' can be read as either singular or plural [Hofweber]
     Full Idea: There are two ways to read to read '2 + 2 = 4', as singular ('two and two is four'), and as plural ('two and two are four').
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §4.1)
     A reaction: Hofweber doesn't notice that this phenomenon occurs elsewhere in English. 'The team is playing well', or 'the team are splitting up'; it simply depends whether you are holding the group in though as an entity, or as individuals. Important for numbers.
What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber]
     Full Idea: There are three different uses of the number words: the singular-term use (as in 'the number of moons of Jupiter is four'), the adjectival (or determiner) use (as in 'Jupiter has four moons'), and the symbolic use (as in '4'). How are they related?
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §1)
     A reaction: A classic philosophy of language approach to the problem - try to give the truth-conditions for all three types. The main problem is that the first one implies that numbers are objects, whereas the others do not. Why did Frege give priority to the first?
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Why is arithmetic hard to learn, but then becomes easy? [Hofweber]
     Full Idea: Why is arithmetic so hard to learn, and why does it seem so easy to us now? For example, subtracting 789 from 26,789.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §4.2)
     A reaction: His answer that we find thinking about objects very easy, but as children we have to learn with difficulty the conversion of the determiner/adjectival number words, so that we come to think of them as objects.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber]
     Full Idea: I argue for an internalist conception of arithmetic. Arithmetic is not about a domain of entities, not even quantified entities. Quantifiers over natural numbers occur in their inferential-role reading in which they merely generalize over the instances.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §6.3)
     A reaction: Hofweber offers the hope that modern semantics can disentangle the confusions in platonist arithmetic. Very interesting. The fear is that after digging into the semantics for twenty years, you find the same old problems re-emerging at a lower level.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber]
     Full Idea: That 'two dogs are more than one' is clearly true, but its truth doesn't depend on the existence of dogs, as is seen if we consider 'two unicorns are more than one', which is true even though there are no unicorns.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §6.2)
     A reaction: This is an objection to crude empirical accounts of arithmetic, but the idea would be that there is a generalisation drawn from objects (dogs will do nicely), which then apply to any entities. If unicorns are entities, it will be true of them.
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber]
     Full Idea: Determiner uses of number words may disappear on analysis. This is inspired by Russell's elimination of the word 'the'. The number becomes blocks of first-order quantifiers at the level of semantic representation.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §2)
     A reaction: [compressed] The proposal comes from platonists, who argue that numbers cannot be analysed away if they are objects. Hofweber says the analogy with Russell is wrong, as 'the' can't occur in different syntactic positions, the way number words can.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber]
     Full Idea: Representing arithmetic formally we do not primarily care about semantic features of number words. We are interested in capturing the inferential relations of arithmetical statements to one another, which can be done elegantly in first-order logic.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §6.3)
     A reaction: This begins to pinpoint the difference between the approach of logicists like Frege, and those who are interested in the psychology of numbers, and the empirical roots of numbers in the process of counting.
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Absolute thought remains in another world from being [Feuerbach]
     Full Idea: Absolute thought never extricates itself from itself to become being. Being remains in another world. …If being is to be added to an object of thought, so must something distinct from thought be added to thought itself.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §24/5)
     A reaction: This sounds a bit like a child wishing for the moon. Is he saying he doesn't just want to think about reality - he wants his mental states to BE external reality? The distinction between a thought and its content or intentionality would help here.
Being is what is undetermined, and hence indistinguishable [Feuerbach]
     Full Idea: Being in the sense in which it is an object of speculative thought is that which is purely and simply unmediated, that is, undetermined; in other words, there is nothing to distinguish and nothing to think of in being.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], 26)
     A reaction: This sounds remarkably like the idea of 'prime matter' used in scholastic Aristotelian philosophy. Matter existing without form is somehow ungraspable, but presented from Hegel onwards as the ultimate mystery.
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Being posits essence, and my essence is my being [Feuerbach]
     Full Idea: Being is the positing of essence. That which is my essence is my being. The fish exists in water; you cannot, however, separate its essence from this being.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §27)
     A reaction: This throws a different light on later (e.g. Heidegger) discussions of 'being', which may map onto Aristotelian discussions of essences.
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
Particularity belongs to being, whereas generality belongs to thought [Feuerbach]
     Full Idea: Particularity and individuality belong to being, whereas generality belongs to thought.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §29)
     A reaction: This agrees with Russell's view that every sentence (and proposition) must contain a universal (i.e a generality). The very notion of thinking 'about' a horse seems to require a move to the universal concept of a horse.
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
The only true being is of the senses, perception, feeling and love [Feuerbach]
     Full Idea: Being as an object of being - and only this being is being and deserves the name of being - is the being of the senses, perception, feeling, and love. …Only passion is the hallmark of existence.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §33)
     A reaction: This remark seems to make Feuerbach a romantic and anti-Enlightenment figure. I don't see why there shouldn't be just as much 'being' in doing maths as in admiring a landscape. The mention of love links him to Empedocles (Ideas 459 + 630).
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]
     Full Idea: Each disposition, in my view, is a physical state or mechanism. ...In some cases nowadays we understand the physical details and set them forth explicitly in terms of the arrangement and interaction of small bodies. This replaces the old disposition.
     From: Willard Quine (The Roots of Reference [1990], p.11), quoted by Stephen Mumford - Dispositions 01.3
     A reaction: A challenge to the dispositions and powers view of nature, one which rests on the 'categorical' structural properties, rather than the 'hypothetical' dispositions. But can we define a mechanism without mentioning its powers?
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Consciousness is absolute reality, and everything exists through consciousness [Feuerbach]
     Full Idea: Consciousness is the absolute reality, the measure of all existence; all that exists, exists only as being for consciousness, as comprehended in consciousness; for consciousness is first and foremost being.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §17)
     A reaction: This is Feuerbach declaring himself in favour of idealism even as he was trying to rebel against it, and move towards a more sensuous and human view of the world. I just see idealists as confusing ontology and epistemology.
11. Knowledge Aims / C. Knowing Reality / 4. Solipsism
Ideas arise through communication, and reason is reached through community [Feuerbach]
     Full Idea: Only through communication and conversation between man and man do ideas arise; not alone, but only with others, does one reach notions and reason in general.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §41)
     A reaction: This is a strikingly modern view of the solipsism problem, and is close in spirit to Wittgenstein's Private Language Argument (Ideas 4143 +4158). Feuerbach is interested in universals rather than rules. I prefer Feuerbach.
12. Knowledge Sources / B. Perception / 6. Inference in Perception
In man the lowest senses of smell and taste elevate themselves to intellectual acts [Feuerbach]
     Full Idea: Even the lowest senses, smell and taste, elevate themselves in man to intellectual and scientific acts.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §53)
     A reaction: Since Darwin we have, I am glad to say, lost this need to distinguish what is 'low' or 'high', and to try to show that even our 'lowest' functions are on the 'high' side. Personally, though, I still need the low/high distinction in moral thinking.
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Our minds are at their best when reasoning about objects [Hofweber]
     Full Idea: Our minds mainly reason about objects. Most cognitive problems we are faced with deal with particular objects, whether they are people or material things. Reasoning about them is what our minds are good at.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §4.3)
     A reaction: Hofweber is suggesting this as an explanation of why we continually reify various concepts, especially numbers. Very plausible. It works for qualities of character, and explains our tendency to talk about universals as objects ('redness').
18. Thought / E. Abstraction / 1. Abstract Thought
The new philosophy thinks of the concrete in a concrete (not a abstract) manner [Feuerbach]
     Full Idea: The new philosophy is the philosophy that thinks of the concrete not in an abstract, but in a concrete manner.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §31)
     A reaction: This leads to placing a high value on art, and on virtuous action through particulars rather than principles, and on empirical science. The only problem is that what he proposes is impossible. To think 'about' is to abstract from the particulars.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
Plotinus was ashamed to have a body [Feuerbach]
     Full Idea: Plotinus, according to his biographers, was ashamed to have a body.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §29)
     A reaction: When Feuerbach draws our attention to this, we see what an astonishing state it is for a human being to have got into. Modern thought is appalled by it, but it also has something heroic about it, like swimming all the time because you want to be a fish.
22. Metaethics / B. Value / 2. Values / g. Love
If you love nothing, it doesn't matter whether something exists or not [Feuerbach]
     Full Idea: To him who loves nothing it is all the same whether something does or does not exist.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §33)
     A reaction: This seems to me to be quite a good motto for the aim of education - just get them to love something, no matter what (well, almost!). Loving something, even if it is train-spotting, seems a good route to human happiness.
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Man is not a particular being, like animals, but a universal being [Feuerbach]
     Full Idea: Man is not a particular being, like the animals, but a universal being.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §53)
     A reaction: This sounds a bit extravagent. The capacity of man to use universals in thought seems crucial to Feuerbach (though he doesn't directly address the problem). 'We are particulars with access to universals' sounds better.
The essence of man is in community, but with distinct individuals [Feuerbach]
     Full Idea: The essence of man is contained only in the community and unity of man and man; it is a unity, however, which rests only on the reality of the distinction between I and thou.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §59)
     A reaction: In English provincial suburbs (where I live) it is astonishing how little interest in and need for their neighbours people seem to have. People seem to survive without community. Most of us, though, think full human happiness needs community.
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
God's existence cannot be separated from essence and concept, which can only be thought as existing [Feuerbach]
     Full Idea: God is the being in which existence cannot be separated from essence and concept and which cannot be thought except as existing.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §18)
     A reaction: This shows how faith in God endured through the Idealist movement by means of the Ontological Argument, despite the criticisms of Hume and Kant. To me this now appears as an odd abberation in the history of human thought.
28. God / C. Attitudes to God / 4. God Reflects Humanity
If God is only an object for man, then only the essence of man is revealed in God [Feuerbach]
     Full Idea: If God is only an object of man, what is revealed to us in his essence? Nothing but the essence of man.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §07)
     A reaction: It is important to distinguish here between what we could know about God, and what we think God might actually be like. We may well only be able to read the essence of man into God, but we might speculate that God is more than that.
God is what man would like to be [Feuerbach]
     Full Idea: God is what man would like to be.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §29)
     A reaction: It is hard to see how even the most devout person could deny the truth of this. Perhaps the essential hallmark of humanity is a desire to be different from the way we are.
God is for us a mere empty idea, which we fill with our own ego and essence [Feuerbach]
     Full Idea: God exists, but he is for us a tabula rasa, an empty being, a mere idea; God, as we conceive and think of him, is our ego, our mind, and our essence.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §17)
     A reaction: He accepted God's existence because of the Ontological Argument. This is a little stronger than Hume's view (Idea 2185), because Hume seems to be talking about imagining God, but Feuerbach says this is our understanding of God.
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Catholicism concerns God in himself, Protestantism what God is for man [Feuerbach]
     Full Idea: Protestantism is no longer concerned, as Catholicism is, about what God is in himself, but about what he is for man.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §02)
     A reaction: It is certainly true that the major religions in their origins seem to be almost exclusively concerned with God alone, and have little interest in human life (or morality).
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Absolute idealism is the realized divine mind of Leibnizian theism [Feuerbach]
     Full Idea: Absolute idealism is nothing but the realized divine mind of Leibnizian theism.
     From: Ludwig Feuerbach (Principles of Philosophy of the Future [1843], §10)
     A reaction: In general it seems an accurate commentary that during the eighteenth century philosophers on the continent were designing a religion without God. Kantian duty tries to replace the authority of God with pure reason.