The difference between Antecedent and Predecessor

Antecedent as an adjective:

Earlier, either in time or in order.

Antecedent as an adjective:

Presumptive.

Antecedent as a noun:

Any thing that precedes another thing, especially the cause of the second thing.

Antecedent as a noun:

An ancestor.

Antecedent as a noun (grammar):

A word, phrase or clause referred to by a pronoun.

Antecedent as a noun (logic):

The conditional part of a hypothetical proposition, i.e. p \rightarrow q, where p is the antecedent, and q is the consequent.

Antecedent as a noun (logic):

The first of two subsets of a sequent, consisting of all the sequent's formulae which are valuated as true.

Antecedent as a noun (math):

The first term of a ratio, i.e. the term a in the ratio a:b, the other being the consequent.

Antecedent as a noun (mostly, in the plural):

Previous principles, conduct, history, etc.

Predecessor as a noun:

One who precedes; one who has preceded another in any state, position, office, etc.; one whom another follows or comes after, in any office or position.

Predecessor as a noun:

A model or type of machinery or device which precedes the current one. Usually used to describe an earlier, outdated model.

Predecessor as a noun (mathematics):

A vertex having a directed path to another vertex