How do you think in Math?

Although I don't have a very long history in math, I have come to notice that the way one thinks can greatly affect his or her potential abilities. To elaborate, here's two examples of what I mean by the 'way one thinks'. A person who thinks pragmatically and simply makes observations and applies them, will most likely be able to efficiently provide a realistic solution to the matter at hand. But that person's ability to discover will be limited, as it is very probable that his curiosity will not go far enough for the person to willingly research a field with great depth. On the other hand, a person with an inquisitive nature would find it enjoyable to work his or her way around logic to reach an amazing theory which could explain much of what was questioned. Only that, it might prove hard for this type of individual to solve problems with very long methods of solution as computing all of which needs to be done from the fundamentals is a difficult task. Now, these are merely two examples of many different thought processes that are used when faced with a question. Returning to the question in the title of this discussion, is there a specialized way of thinking that has a greater potential of unraveling answers to problems? If so, what would it be?

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

How do you think in Math?

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