On 1/29/21, [email protected] <[email protected]> wrote: > How is logic any different in Hilbert Space? A>B is always and only just cat > bite me > me in pain..... Wiki says HS is vibrational waves....see my > point?
Hilbert space is the space of "functions" where each function is a *point* in that space. Think about the sine function, and you have in mind a picture of its X-Y plot, the familiar sine wave. But if the entire sine function is to be represented as a point in some space, all that information is given by the point's position, or coordinate. That's why the dimension of the Hilbert space has to be infinite. Each dimension is like a slice of the X coordinate of that X-Y plot. By having an infinite number of dimensions, each point in Hilbert space can represent one function. But a computer cannot store an infinite number of coordinates, so people have the impression that "functional analysis" is useless in practice. Actually, computational functional analysis exists, using methods like truncation or approximation to represent objects. And my approach is also one such attempt, using a neural network represent an ideal "function". Help it helps :) YKY ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T54594b98b5b98f83-M1754ceb7bbda948da4955051 Delivery options: https://agi.topicbox.com/groups/agi/subscription
