7 ideas
| 10580 | Mathematics is both necessary and a priori because it really consists of logical truths [Yablo] |
| Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10) | |
| A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity. |
| 10579 | Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo] |
| Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08) | |
| A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning. |
| 22333 | Only language is understandable Being [Gadamer] |
| Full Idea: Being that can be understood is language. | |
| From: Hans-Georg Gadamer (Truth and Method [1960], p.450), quoted by Hans-Johann Glock - What is Analytic Philosophy? 5.2 | |
| A reaction: [also 1967 p.19] Glock quotes this to show that continental philosophers are just as linguistic in their approach as the analytic school. I think the main aim of representational painting is to grasp non-linguistic Being. |
| 10577 | Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo] |
| Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01) |
| 10578 | We are thought to know concreta a posteriori, and many abstracta a priori [Yablo] |
| Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02) |
| 23803 | States have content if we can predict them well by assuming intentionality [Dennett, by Schulte] |
| Full Idea: Dennett maintains that a system has states with representational content if we are able to predict its behaviour reliably and voluminously by adopting the intentional stance toward it. | |
| From: report of Daniel C. Dennett (True Believers [1981]) by Peter Schulte - Mental Content 5 | |
| A reaction: Dennett himself seems happy to thereby attribute representational content to a chess-playing computer. This sounds like a test for content, rather than explaining what it is. Not promising, I think. |
| 20928 | Facts don't oppose values; they are integrated into each person's aspirations [Gadamer, by Zimmermann,J] |
| Full Idea: Gadamer shows that we cannot oppose facts to values, but that all facts are integrated into meaningful wholes through a personal commitment to some kind of vision of how things ought to be. | |
| From: report of Hans-Georg Gadamer (Truth and Method [1960]) by Jens Zimmermann - Hermeneutics: a very short introduction | |
| A reaction: Straw man here. Whoever said that facts were 'opposed' to values? Certainly not David Hume. Any sensible empiricist of that type would try to develop values that integrated nicely with the facts. Gadamer seems to be denying facts. |