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comment by rob05c
rob05c  ·  3617 days ago  ·  link  ·    ·  parent  ·  post: Beyond true and false

    we simply took value of to be a relation, not a function

I'd be interested to see how his perspective changes after being introduced to Lamba Calculus. Everything can be represented with functions. Everything.

Which says something about the nature of many things: sets, relations, computability. Verbs, actions.

If everything is (or can be) a function (a transformation, a verb, an action), does that imply anything about philosophy or reality? Does that give us something resembling Mahayana Buddhism, or lend credence to it?

What if we view energy as a function and matter as a state? Mass–energy equivalence tells us energy can be converted to matter. Then, what if we view matter as a function which returns a state? For example, the C function

  int fortytwo() {return 42;}
acts as a state, to anyone calling it. But it is most definitely a function. What if matter is the same way: a function (energy) which has been configured to appear as state?

    The constructions I have described show how to make precise mathematical sense of the Buddhist views. This does not, of course, show that they are true.




kleinbl00  ·  3617 days ago  ·  link  ·  

Max Tegmark argued in Our Mathematical Universe that the universe reduces to a single function. In other words, we aren't starstuff, we're infinite collections of dependent variables.

user-inactivated  ·  3617 days ago  ·  link  ·  

Everything computable can be represented with functions. Which may or may not be the same thing...

rob05c  ·  3617 days ago  ·  link  ·  

We're already pretty close to the brink of reason here. Applying some obscure undecidable matrix or group theory problem to the application of mathematical functions to philosophy might be a swan dive off the edge.

OftenBen  ·  3615 days ago  ·  link  ·  

Ah but what a fun flight, however brief.

OftenBen  ·  3615 days ago  ·  link  ·  
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