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Do Pumps Create Pressure or Flow?

Pumps generate both pressure and flow, with actual operating conditions determined by where the pump curve intersects the system curve. Proper pump selection is essential for efficiency and cost, particularly at large scales.

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No-New-Physics Consciousness

Physical brains reduce to physics, but two puzzles persist: whether physical reality is "actual" and whether minds truly feel or just mimic feeling. Since no brain can prove it feels, prior reasoning favors panpsychism as the...

Constructing Hadamard matrices

Mathematicians proved a Hadamard matrix of order 668 exists, closing the last known gap below 2,000. These grids of 1s and -1s, conjectured to exist for every multiple of 4, remain unproven, with 2,004 now the smallest...

There are two kinds of theorems

Mathematical theorems serve two distinct purposes: validating that a model works correctly, or revealing genuinely new discoveries. Without this distinction, students are confused when teachers prove seemingly obvious facts.