Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Forgot your password?
• Apply for membership

1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeAug 12th 2016
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexI see Thomas has revived [[construction in philosophy]] after it was emptied a while ago from the initial spam. If it's naming a piece of writing, i.e., by Schelling, we tend to capitilize. But perhaps it's a more general development within philosophical logic. It would help to relate this entry to [[constructive mathematics]]. In that we're told its influence continues to our times through Dummett, etc., are we to think of that strand of constructivism which runs through to Martin-Lof? I recently noted him say >...mathematical knowledge through the construction of concepts, Ger. *mathematische Erkenntnis durch die Konstucion der Begriffe*, a splendid formulation which no doubt had a fruitful influence on Brouwer, and to my mind it is justifiable to say that intuitionism is a development of an essentially Kantian position in the foundations of mathematics. (Martin-Löof, [Analytic and synthetic judgements in type theory](http://archive-pml.github.io/martin-lof/pdfs/Martin-Lof-Analytic-and-Synthetic-Judgements-in-Type-Theory.pdf), p. 99).

   I see Thomas has revived construction in philosophy after it was emptied a while ago from the initial spam. If it’s naming a piece of writing, i.e., by Schelling, we tend to capitilize. But perhaps it’s a more general development within philosophical logic. It would help to relate this entry to constructive mathematics.

   In that we’re told its influence continues to our times through Dummett, etc., are we to think of that strand of constructivism which runs through to Martin-Lof? I recently noted him say

   …mathematical knowledge through the construction of concepts, Ger. mathematische Erkenntnis durch die Konstucion der Begriffe, a splendid formulation which no doubt had a fruitful influence on Brouwer, and to my mind it is justifiable to say that intuitionism is a development of an essentially Kantian position in the foundations of mathematics. (Martin-Löof, Analytic and synthetic judgements in type theory, p. 99).

2. • CommentRowNumber2.
   • CommentAuthorThomas Holder
   • CommentTimeAug 12th 2016
   • (edited Aug 12th 2016)
   • PermaLink
   Author: Thomas Holder
   Format: TextThough I purloined the title from Schelling with the idea of highlighting his importance, the entry intends to collect information, which probably will unfortunately mean mostly references, to the constructive tradition let's say post Kantian (though by throwing in Descartes&Spinoza the door is open to older things as well). So things like the Martin-Löf paper or the work of Lambalgen&co should definitely go there. In a broad sense then I would redirect the inexistent [[constructivism and idealism]] to this entry and hope that it will eventually prove helpful as a tool for promoting some math-philo interaction even if only indirectly. When I got more directly involved with the texts I intend to add at some later time sections on Schelling's postion and Kant's 'Anfangsgründe' (which in my view often seem to fly under the radar of people interested in this), as well as on Hegel's critical reassessment of 'construction' . Of course, as any other entry, it welcomes the intervention of the energetic person in whatever form!

   Though I purloined the title from Schelling with the idea of highlighting his importance, the entry intends to collect information, which probably will unfortunately mean mostly references, to the constructive tradition let's say post Kantian (though by throwing in Descartes&Spinoza the door is open to older things as well).
   
   So things like the Martin-Löf paper or the work of Lambalgen&co should definitely go there. In a broad sense then I would redirect the inexistent constructivism and idealism to this entry and hope that it will eventually prove helpful as a tool for promoting some math-philo interaction even if only indirectly.
   
   When I got more directly involved with the texts I intend to add at some later time sections on Schelling's postion and Kant's 'Anfangsgründe' (which in my view often seem to fly under the radar of people interested in this), as well as on Hegel's critical reassessment of 'construction' .
   
   Of course, as any other entry, it welcomes the intervention of the energetic person in whatever form!