Yoneda Philosophy and Relationality
"The idea underlying the Yoneda results is like this. In the most general sense, it might be regarded as saying something like
To understand an object it suffices to understand all its relationships with other things.
Or, to say it in another way,
If you want to know whether two objects A and B are the same, just look at whether all the ways of probing A with other things (or, dually, probing other things with A) is the same as all the ways of probing B with other things (or, dually, probing other things with B)."
Daniel Rosiak in Sheaf Theory through Examples
inscitia
npub19x…lal37
2024-06-24 15:00:13
Author Public Key
npub19x5l76266vfen827fudaampuuupkejg9vls88hld8nv4w4sq59lsqlal37Published at
2024-06-24 15:00:13Event JSON
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"content": "Yoneda Philosophy and Relationality\n\n\"The idea underlying the Yoneda results is like this. In the most general sense, it might be regarded as saying something like \n\nTo understand an object it suffices to understand all its relationships with other things.\n\nOr, to say it in another way, \n\nIf you want to know whether two objects A and B are the same, just look at whether all the ways of probing A with other things (or, dually, probing other things with A) is the same as all the ways of probing B with other things (or, dually, probing other things with B).\"\n\nDaniel Rosiak in Sheaf Theory through Examples",
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