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Nobody came up with a proof of finitism because the semantics of a mathematical proof can forbid an expression of reality of the physical world. Physical world
by zkmon 2y ago
Nobody came up with a proof of finitism because the semantics of a mathematical proof can forbid an expression of reality of the physical world. Physical world abhors infinite and mathematics was supposed to be a tool to describe the physical world. Instead, math went into hallucinations about infinity etc. Physics works perfectly well even when you replace infinite with a relatively large number, giving you as much precision as you need. Physics never needed PI to be calculated to millions of digits, or multiple infinities to be defined. Computers are working fine without this poetry of infinite. I'm not sure why infinity can't be redefined as a relatively large finite number.
- kragen 2y agoI can't make any sense of your comment; it seems like it has missing words, circular logic, and fundamental misconceptions, but it's not really coherent enough to tell.
- n4r9 2y ago> Physics works perfectly well even when you replace infinite with a relatively large number Has this actually been studied? I reckon you'd run into problems pretty quickly if you tried to impose a "maximum" allowed number (call it N). For example, you might set N equal to the number of quarks in the universe. But now you have no way to represent the number of different configurations of quarks, taking into account their possible quantum states (i.e. taking the factorial). But you also have a time dimension (which I assume you're splitting into discrete chunks to avoid infinitesimals). To decsribe the quantum state over time requires your previous estimate multiplied by the number of time points. And so on... ad infinitum!