Ordinals in a sentence

Any limit of regular ordinals is a limit of initial ordinals and thus is also initial but need not be regular.

Since Apostolicae curae was issued many Anglican jurisdictions have revised their ordinals, bringing them more in line with ordinals of the early Church.

Unlike Conway's realization of the surreal numbers, however, the sign-expansion requires a prior construction of the ordinals, while in Conway's realization, the ordinals are constructed as particular cases of surreals.

BRC-20 and Ordinals have been a popular subject in recent weeks and the reason behind the division in the Bitcoin community.

The rise of Bitcoin NFT Ordinals is one of the fascinating developments on the leading blockchain in 2023.

These issues are compounded by the release of Bitcoin Ordinals and the new Bitcoin token standard.

Former President Donald Trump is reportedly set to make his debut on Bitcoin Ordinals.

Sotheby’s has sold an Ordinals inscribed poem titled “Cord” by Ana Maria Caballero for 0.28 Bitcoin or $11,430.

Also observe that: * Disks whose ordinals have even parity move in the same sense as the smallest disk.

Chinese uses cardinal numbers in certain situations in which English would use ordinals.

Finally, he developed the multiplication operator, and proved that the surreals are actually a field, and that it includes both the reals and ordinals.

His PhD thesis, titled "Systems of Logic Based on Ordinals", contains the following definition of "a computable function": It was stated above that 'a function is effectively calculable if its values can be found by some purely mechanical process'.

However, similar definitions can be made that eliminate the need for prior construction of the ordinals.

If only one monarch has used a particular name, no ordinal is used; for example, Queen Victoria is not known as "Victoria I", and ordinals are not used for English monarchs who reigned before the Norman conquest of England.

If we use the von Neumann definition, under which each ordinal is identified as the set of all preceding ordinals, the paradox is unavoidable: the offending proposition that the order type of all ordinal numbers less than a fixed is itself must be true.

Larger ordinals rely on replacement less directly.

Note that the conventional addition and multiplication of ordinals does not always coincide with these operations on their surreal representations.

Stated in terms of von Neumann ordinals We will prove this by reductio ad absurdum.

The cofinality of a set of ordinals or any other well-ordered set is the cofinality of the order type of that set.

The Home Secretary told the House of Commons that monarchs since the Acts of Union had consistently used the higher of the English and Scottish ordinals, which in the applicable four cases has been the English ordinal.