Combining Texts

All the ideas for 'Realism in Mathematics', 'Towards a Critique of Hegel's Philosophy' and 'Intro to 'Self-Representational Consciousness''

unexpand these ideas     |    start again     |     specify just one area for these texts


16 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
All philosophies presuppose their historical moment, and arise from it [Feuerbach]
     Full Idea: Every philosophy originates as a manifestation of its time; its origin presupposes its historical time.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.59)
     A reaction: There seems to be widespread agreement among continental philosophers about this idea, whereas analytic philosophers largely ignore, and treat Plato as if he were a current professor in Chicago.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
I don't study Plato for his own sake; the primary aim is always understanding [Feuerbach]
     Full Idea: Plato in writing is only a means for me; that which is primary and a priori, that which is the ground to which all is ultimately referred, is understanding.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.63)
     A reaction: It always seems to that the main aim of philosophy is understanding - which is why its central activity is explanation.
2. Reason / C. Styles of Reason / 1. Dialectic
Each proposition has an antithesis, and truth exists as its refutation [Feuerbach]
     Full Idea: Every intellectual determination has its antithesis, its contradiction. Truth exists not in unity with, but in refutation of its opposite.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.72)
     A reaction: This appears to be a rejection of the 'synthesis' in Hegel, in favour of what strikes me as a rather more sensible interpretation of the modern dialectic. Being exists in contrast to nothingness, and truth exists in contrast to its negation?
A dialectician has to be his own opponent [Feuerbach]
     Full Idea: A thinker is a dialectician only insofar as he is his own opponent.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.72)
     A reaction: Quite an inspirational slogan for beginners in philosophy. How many non-philosophers are willing to be their own opponent. In law courts and the House of Commons we assign the roles to separate persons. Hence rhetoric replaces reason?
3. Truth / A. Truth Problems / 3. Value of Truth
Truth forges an impersonal unity between people [Feuerbach]
     Full Idea: The urge to communicate is a fundamental urge - the urge for truth. ...That which is true belongs neither to me nor exclusively to you, but is common to all. The thought in which 'I' and 'You' are united is a true thought.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.65)
     A reaction: Sceptics may doubt that there are such truths, but this is certainly how we experience agreement - that there is some truth shared between us which is no longer the possession of either of us. Nice idea.
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
     Full Idea: Maddy dispenses with pure sets, by sketching a strong set theory in which everything is either a physical object or a set of sets of ...physical objects. Eventually a physiological story of perception will extend to sets of physical objects.
     From: report of Penelope Maddy (Realism in Mathematics [1990]) by Stewart Shapiro - Thinking About Mathematics 8.3
     A reaction: This doesn't seem to find many supporters, but if we accept the perception of resemblances as innate (as in Hume and Quine), it is isn't adding much to see that we intrinsically see things in groups.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
     Full Idea: Maddy takes a natural number to be a certain property of sui generis sets, the property of having a certain number of members.
     From: report of Penelope Maddy (Realism in Mathematics [1990], 3 §2) by Alex Oliver - The Metaphysics of Properties
     A reaction: [I believe Maddy has shifted since then] Presumably this will make room for zero and infinities as natural numbers. Personally I want my natural numbers to count things.
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
     Full Idea: Maddy says that intuition alone does not support very much mathematics; more importantly, a naturalist cannot accept intuition at face value, but must ask why we are justified in relying on intuition.
     From: report of Penelope Maddy (Realism in Mathematics [1990]) by Stewart Shapiro - Thinking About Mathematics 8.3
     A reaction: It depends what you mean by 'intuition', but I identify with her second objection, that every faculty must ultimately be subject to criticism, which seems to point to a fairly rationalist view of things.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
     Full Idea: Maddy proposes that we can know (some) mind-independent mathematical truths through knowing about sets, and that we can obtain knowledge of sets through experience.
     From: report of Penelope Maddy (Realism in Mathematics [1990]) by Carrie Jenkins - Grounding Concepts 6.5
     A reaction: Maddy has since backed off from this, and now tries to merely defend 'objectivity' about sets (2011:114). My amateurish view is that she is overrating the importance of sets, which merely model mathematics. Look at category theory.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
To our consciousness it is language which looks unreal [Feuerbach]
     Full Idea: To sensuous consciousness it is precisely language that is unreal, nothing.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.77)
     A reaction: Offered as a corrective to the view that our ontological commitments entirely concern what we are willing to say.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Absolute is the 'and' which unites 'spirit and nature' [Feuerbach]
     Full Idea: The Absolute is spirit and nature. ...But what then is the Absolute? Nothing other than this 'and', that is, the unity of spirit and nature.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.82)
     A reaction: This is Feuerbach's spin on Hegel. He has been outlining idealist philosophy and the philosophy of nature in Schelling. Is this Spinoza's one substance?
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Consciousness is reductively explained either by how it represents, or how it is represented [Kriegel/Williford]
     Full Idea: The two main competitors for reductive theories of consciousness are the representational theory (conscious if it represents in the right way), and higher-order monitoring (conscious if it is represented in the right way).
     From: U Kriegel / K Williford (Intro to 'Self-Representational Consciousness' [2006], Intro)
     A reaction: Presumably there are also neuroscientists hunting for physical functions which might generate consciousness. The two mentioned here are rivals at one level of discourse. Both views may be simplistic, if complex teams of activities are involved.
Experiences can be represented consciously or unconsciously, so representation won't explain consciousness [Kriegel/Williford]
     Full Idea: On the assumption that any environmental feature can be represented either consciously or unconsciously, it is unclear how the mere representation of such a feature can render the representing state conscious.
     From: U Kriegel / K Williford (Intro to 'Self-Representational Consciousness' [2006], §1)
     A reaction: The authors are rejecting simple representation as the key, in favour of a distinctive sort of self-representation. I'm inclined to think that consciousness results from multiple co-ordinated layers of representation etc., which has no simple account.
Red tomato experiences are conscious if the state represents the tomato and itself [Kriegel/Williford]
     Full Idea: The self-representational theory of consciousness says that when one has a conscious experience as of a red tomato, one is in an internal state that represents both a red tomato and itself.
     From: U Kriegel / K Williford (Intro to 'Self-Representational Consciousness' [2006], §1)
     A reaction: This seems to be avoiding the concept of 'higher-order', and yet that seems the only way to describe it - thought steps outside of itself, generating a level of meta-thought. I think that's the way to go. Philosophy is about-fifth level.
How is self-representation possible, does it produce a regress, and is experience like that? [Kriegel/Williford]
     Full Idea: The difficulties with a self-representational view of consciousness are how self-representation of mental states could be possible, whether it leads to an infinite regress, and whether it can capture the actual phenomenology of experience.
     From: U Kriegel / K Williford (Intro to 'Self-Representational Consciousness' [2006], §3)
     A reaction: [compressed] All of these objections strike me as persuasive, especially the first one. I'm not sure I know what self-representation is. Mirrors externally represent, and they can't represent themselves. Two mirrors together achieve something..
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Unfortunately, higher-order representations could involve error [Kriegel/Williford]
     Full Idea: A problem for explaining consciousness by higher-order representations is that, like their first-order counterparts, they can misrepresent; there could be a subjective impression of being in a conscious state without actually being in any conscious state.
     From: U Kriegel / K Williford (Intro to 'Self-Representational Consciousness' [2006], §1)
     A reaction: It sounds plausible that this is a logical possibility, but how do you assess whether it is an actual or natural possibility? Are we saying that higher-order representations are judgments, which could be true or false? Hm.