Recent content by RespeckKnuckl
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Graduate Validity of proof method - error in book?
Thanks! I see where I went wrong. For future googlers' sake, the book is "Basic Category Theory for Computer Scientists", and the part which confused me was that he used the wording "Let A be the one-element set". That wording does not make it clear that he is only proving a contradiction for...- RespeckKnuckl
- Post #7
- Forum: General Math
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Graduate Validity of proof method - error in book?
That's not entirely clear, and here's why. He starts by saying: So far, those properties are true of all such f that are monomorphisms that are not injective. Then: Here he is no longer describing ALL monomorphisms that are not injective, but a single special case in which A is a...- RespeckKnuckl
- Post #5
- Forum: General Math
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Graduate Validity of proof method - error in book?
Thank you, but what I'm concerned with is the logical justification of his argument. Particularly the part where, as I described, he goes from making the argument about a particular case that leads to a contradiction, to saying that all such cases will cause that contradiction. I may be missing...- RespeckKnuckl
- Post #3
- Forum: General Math
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Graduate Validity of proof method - error in book?
Validity of proof method -- error in book? Hey guys, I'm going through a book on category theory (not homework, not for a class) and I'm having trouble following a provided proof, I think there's something wrong with his reasoning. You don't necessarily need to know category theory to...- RespeckKnuckl
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- Book Error Method Proof
- Replies: 6
- Forum: General Math
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Graduate Bouncing light question faster than c?
I'm confused again by a relativistic situation. On train A a mirror is placed atop another, with distance h between them. A light beam is bouncing back and forth between them. Now 1 light-hour away, spaceship B is traveling almost towards A at half the speed of light. not traveling in a directly...- RespeckKnuckl
- Thread
- Light
- Replies: 5
- Forum: Special and General Relativity
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Graduate Simultaneity and a thought experiment
I'm confused by this, what's the equation being used here? so say that B was radiating energy and the amount of energy that hits C changes its color; the intensity of that color change depends on the amount of time of exposure and distance from C. If the average distance between B and C as...- RespeckKnuckl
- Post #4
- Forum: Special and General Relativity
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Graduate Simultaneity and a thought experiment
confused about this thought. Object A and B are d distance apart, as measured by an object exactly in the middle of them, object C. A and B are moving towards each other at c/2, again measured by C. According to C's frame of reference, all three objects will collide at the exact same moment...- RespeckKnuckl
- Thread
- Experiment Simultaneity Thought experiment
- Replies: 10
- Forum: Special and General Relativity