Synesthesia basically happens when an individual's meaning of something is not expressed by other people, so there isn't a complete way of describing the meaning.
For example, a tree is a tree because we all agree it's a tree. The way I might imagine a tree or describe it would be very similar to most other people's. Or let's say I describe a fire as being "Orange, lit up, and warm." Most others would agree with this definition.
I sense personalities in numbers and objects. So I couldn't say, "Well you know a four is discrete and female, whereas a five is male and has a big personality." Other people might just see a four written out, or have some other way of thinking about fours. But they're not likely to experience a four in the same way that I do, so it's synesthesia.
And yes, you should enjoy it.
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I am a NT sociologist. I am studying the sociology of autism: Identity in ASD/AS, "passing" as NT, and causal effects of NT society on people with ASD/AS.