Physical dimensions (px) are usually worse than logical ones (pt, em,%), since the size and resolution of physical devices can vary greatly (from a small tube to the desktop screen to the wall plasma screen). If you are not attached to the part of the bitmap graphics, there should be no shortage of determining the size in logical units.
If you always specify the font size as a percentage of the base size, it is more difficult to forget to use logical units :) Also, the user can simply specify the size of the base font in the browser, and your whole design will automatically adapt.
When the font size is too small to read, I zoom in a bit. I also ask a rather large database page size for Japanese, so I can see the glyphs. But if the page resists to adapt to changing the font, I usually just click the "Readability" bookmarklet, and the disruptive design completely disappears.
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