The difference between Deduction and Reduction

Deduction as a noun:

That which is deducted; that which is subtracted or removed

Deduction as a noun:

A sum that can be removed from tax calculations; something that is written off

Deduction as a noun (logic):

A process of reasoning that moves from the general to the specific, in which a conclusion follows necessarily from the premises presented, so that the conclusion cannot be false if the premises are true.

Deduction as a noun:

A conclusion; that which is deduced, concluded or figured out

Deduction as a noun:

The ability or skill to deduce or figure out; the power of reason

Reduction as a noun:

The act, process, or result of reducing.

Reduction as a noun:

The amount or rate by which something is reduced, e.g. in price.

Reduction as a noun (chemistry):

A reaction in which electrons are gained and valence is reduced; often by the removal of oxygen or the addition of hydrogen.

Reduction as a noun (cooking):

The process of rapidly boiling a sauce to concentrate it.

Reduction as a noun (mathematics):

The rewriting of an expression into a simpler form.

Reduction as a noun (computability theory):

a transformation of one problem into another problem, such as mapping reduction or polynomial reduction.

Reduction as a noun (music):

An arrangement for a far smaller number of parties, e.g. a keyboard solo based on a full opera.

Reduction as a noun (philosophy, phenomenology):

A philosophical procedure intended to reveal the objects of consciousness as pure phenomena. (See phenomenological reduction.)

Reduction as a noun (medicine):

A medical procedure to restore a fracture or dislocation to the correct alignment.