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In mathematical logic and set theory, an ordinal collapsing function (or projection function) is a technique for defining (notations for) certain recursive large countable ordinals, whose principle is to give names to certain ordinals much larger than the one being defined, perhaps even large cardinals (though they can be replaced with recursively large ordinals at the cost of extra technical ...
In mathematics, Rathjen's psi function is an ordinal collapsing function developed by Michael Rathjen. It collapses weakly Mahlo cardinals M {\displaystyle M} to generate large countable ordinals . [ 1 ]
Also, if the table has cell spacing (and thus border-collapse=separate), meaning that cells have separate borders with a gap in between, that gap will still be visible. A cruder way to align columns of numbers is to use a figure space   or   , which is intended to be the width of a numeral, though is font-dependent in practice:
This is a list of symbols used in this table: ψ represents various ordinal collapsing functions as defined in their respective citations. Ψ represents either Rathjen's or Stegert's Psi. φ represents Veblen's function. ω represents the first transfinite ordinal. ε α represents the epsilon numbers.
In the mathematical fields of set theory and proof theory, the Takeuti–Feferman–Buchholz ordinal (TFBO) is a large countable ordinal, which acts as the limit of the range of Buchholz's psi function and Feferman's theta function. [1] [2] It was named by David Madore, [2] after Gaisi Takeuti, Solomon Feferman and Wilfried Buchholz.
The Feferman–Schütte ordinal can be defined as the smallest ordinal that cannot be obtained by starting with 0 and using the operations of ordinal addition and the Veblen functions φ α (β). That is, it is the smallest α such that φ α (0) = α.
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For example, nested tables (tables inside tables) should be separated into distinct tables when possible. Here is a more advanced example, showing some more options available for making up tables. Users can play with these settings in their own table to see what effect they have.