Thought can be modelled as a transition between states of a machine. It is therefore an entirely mathematical and abstract thing.
Not following what you mean in first statement. Please elaborate.
To be clear, when I say thought, I pretty much mean everything. I'm not aware of anything that is not a thought, and variation of thought forms may allow us to account for some in a analysis / rudimentary way, while other forms of thought are not so easy to 'capture' within intellect. Infinity would be example that comes to mind.