# What are the different types of uniformities in subjects?

Some I can think of: - Uniformity of law (uniformities that are found in nature)

• Uniformities in interpretation (uniformity in how we 'interpret' mathematical findings or works of art)

• Uniformity of motive (once again, with reference to art, the intentions of artist, are they uniform?)

How do we define uniformities in areas of knowledge? I personally think that the concept of uniformities is multifaceted, and doesn't have a single one line definition? What do you think?

By uniformities in areas of knowledge, I am referring to the assumption of uniformities when studying / enhancing knowledge in various subjects.

• Thanks for the edit, but I’m afraid I still don’t get it. Could you supply a concrete example of, say, a case where mathematical findings are (not) interpreted with uniformity? An example of an ‘assumption of uniformities when studying’ would also be helpful. Nov 20 '17 at 17:52
• @MarkOxford. Induction assumes uniformity in the sense that the truth of whatever results from induction assumes the truth of uniformity. If there were no uniformity, induction would fall to the ground.
– user3017
Nov 20 '17 at 19:49
• @SelenaCarlos. I mean induction in general, including mathematics. In the example that Mark gave, the validity of P(n+1) assumes that there is a successor to n to which it makes sense to apply the function P; that is, successive values of n are assumed to be uniform.
– user3017
Nov 20 '17 at 19:57
• Yes there is a need for these fixed ideas, or forms. Artists can use them, say as signs (semiotics) or they can play off of them and use them as a melodramatic cliche (Douglas Sirk was a master of this in film). Many uses, the artists can mock these fixed ideas too, but they need them: they would cry if they disappeared. Big subject. Film studies alone will keep you busy. Nov 21 '17 at 3:53
• Even in film editing you can see this uniformity, the fixed idea, or "way". You know the Hollywood style of the Golden age, the polish, narrative style, the way they were edited, and the Italians and French played off this (against it) to great effect. Nov 21 '17 at 3:59