In statistical mechanics it would be called phase space or phase space with velocity. If you could adopt it for your needs, maybe you would adopt it for your needs?

What is the legal meaning of https://en.wikipedia.org/wiki/SimpleWiki? org/wiki/Phase_space.org/wiki_phase_space.org

for more information.

Both of these answers are elegant and clearly complete and both are equally-deserving of the recognized answer.

• Is
• there any term that might be suitable just because ‘this’ is unknown to the general population, but it might be more perfect than anything (such as one or two digit numbers)? ”

“What makes a “Great” man?

Is it wrong to call induction space a solution space?

Solution space works because it is very specific and your idea seems to be about solutions to a problem that comes from a given set.

Induction space is used in many ways but have very varying uses in your google link. That’s because it is very non-specific and so can be used locally and disambiguated with the context (and your own explicit definition).

It might not be possible to come up with a term that is accessible by the general population simply because what the term is supposed to describe is unknown to the general population.

Either someone reading your text is someone from the field in question, a professional, or they are “a layperson”. If they are professionals they’d prefer a term that makes sense given your theory and the field in question, so it doesn’t matter if it’s ambiguous other contexts. If the person reading your text is a layperson they could not benefit from one term being more accessible as long as your whole theory is not as accessible.

According to you, could you come up with a term out of your own field? What you seem to speak of are possibilities given premises. There are many methods in advanced mathematics to simplify the solution spaces, and to define the sets of possible worlds. Is it important that the term you choose is consistent with how you speak of possibility in any other place in your theory, e.g. in the Bible? If you speak of a possible world, you should only speak of a possibility that way to avoid confusion. Even if you use technical terms you can more or less self-explanatory, so choose them carefully. If you speak of sets of possible worlds you could say that the set of possible worlds expressed by a deduction is a subset of the set of possible worlds expressed by the premises, but the set of possible worlds expressed by the conclusion of induction can be a superset of the set of possible worlds expressed by the premises. By comparing cardinality of sets of possible world it might also be possible to communicate their size and infinity (I’m just guessing here, dunno what you want to say)

If you still want a term that a layperson understands you might want to speak of possibilities so that keep close to common talk of possibility, i.e. what is the definition of possibilities and what we mean by “outer possibilities.” How is the possibility conceived and discussed in everyday everyday situations. If some conditions cause more possibility then others conditions, so can be said that they are just as useful one condition and one conditions don’t have them.

In both cases examples are powerful tools to illustrate terms you want to define. But as an answer, you simply write what you want to define. I get many examples of theory. So something can be explained with

examples.

Range of induction. Range of deduction.

In mathematics, the term the range of functions is well known and of excellent interest. As bonus we get Image of induction and Image of deduction

with a deductive map, taking an object from the range of deduction to image of deduction.

What does it mean for deductive maps to act between inductin to deductive images?