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commutative monoidal categories.
• In a strict monoidal category we typically have
• In a strict symmetric monoidal category we have for each pair of objects a chosen isomorphism
• A commutative monoidal category is a symmetric strict monoidal category where the symmetry isomorphisms are all identities, so
So, we have a spectrum running from hardcore individualism, where two different things of the same type are
never interchangeable… to hardcore collectivism, where two different things of the same type are so interchangeable that switching them counts as doing nothing at all! In the theory of Petri nets and their variants, the two extremes have been studied better than the middle. ....

John Baez , Blake Pollard , Devan Patterson , Fabrizio Genovese , Mike Shulman , Joachim Kock , Jade Master , Micah Halter , ஜான் பாயிஸ் , பிளேக் பொழிலர்ட் , எவன் பேட்டர்சன் , ஃபேப்ரிஜியோ கேனோவெசே , மைக் ஶ்யூல்மந் , ஜேயொவாகிம் கொக்க் , ஜேட் குரு , மைக்கா ஹால்டர் ,