Therefore, I don’t think implication (1) or (2) follow from the premise, even if it is correct.
To clarify: what do you mean by the premise and implications (1) and (2) here? (I am guessing that premise = text under the heading “Conjecture: …” and implications (1) or (2) = text under the heading “Implications”.)
😆 and just for fun, in relation to your footnote 6, I don’t know much about Dugatkin’s associations but to the best of my knowledge Reeve is related to the Santa Fe Institute through his collaboration with Bert Hölldobler who is part of the SIRG at ASU
Correct, I am suggesting that fuzzy concepts can and should be strictly defined mathematically, and within the limits of that mathematical definition it should hold true to be generally useful within the scope of what it was constructed for.
To use a loose mathematical analogy, we can use the definition of a limit to arrive at precise constraints, and generate iff theorems like L’Hôpitals to make it easier to digest. Cooperation in this case would be an iff theorem, with more basal concepts being the fallback. But for the model to be useful, the hypothesis of the theorem needs to absolutely suggest the conclusion.
Edit: What I asserted in my last sentence isn’t strictly true. You could find utility in a faulty model if it is for hypothesis generation and it is very good at it.
To clarify: what do you mean by the premise and implications (1) and (2) here? (I am guessing that premise = text under the heading “Conjecture: …” and implications (1) or (2) = text under the heading “Implications”.)
😆 and just for fun, in relation to your footnote 6, I don’t know much about Dugatkin’s associations but to the best of my knowledge Reeve is related to the Santa Fe Institute through his collaboration with Bert Hölldobler who is part of the SIRG at ASU
Correct, I am suggesting that fuzzy concepts can and should be strictly defined mathematically, and within the limits of that mathematical definition it should hold true to be generally useful within the scope of what it was constructed for.
To use a loose mathematical analogy, we can use the definition of a limit to arrive at precise constraints, and generate iff theorems like L’Hôpitals to make it easier to digest. Cooperation in this case would be an iff theorem, with more basal concepts being the fallback. But for the model to be useful, the hypothesis of the theorem needs to absolutely suggest the conclusion.
Edit: What I asserted in my last sentence isn’t strictly true. You could find utility in a faulty model if it is for hypothesis generation and it is very good at it.