I think intuitively.
Let me explain.
Early in my life as a student, when I was learning to think, it dawned on me, in the late hours in the dead of the night, that intuition is nothing but logic operating very quickly as if instantaneously. I think it was after reading Bergson.
Logic is nothing but a very mechanistic way of thinking. There are two major approaches. Deduction is from the general to the specific. Induction or inference is from the specific to the general.
While these two approaches to logic look fairly simple and straightforward, their proper application requires a lot of practice so that one does not fall into the trap of "gross" generalisations or pedantic "frog in the well" or "frog under the coconut shell" mentality.
The common illustration of the problem of logic is the story of the black swans. In England at a time when they were beginning to think, they saw and concluded that "All swans are white" until they discovered Australia and discovered they are wrong when they saw black swans there. The truth is seldom neat and tidy.
Logical, No Truth
But logic is never the path to truth. Logic is just a method to ensure that a view or an argument is properly constructed and laid out - so that it can be communicated clearly to other people (most often for the purpose of trying to convince others to share or take up one's view). This is a very tedious thing to do - to work out each and every little step very clearly and linearly along a line (not necessarily a straight line). In modern day example, this is nothing more than just a circuit board.
What is arrived at is not the truth, but a logical conclusion. "If you build it like this, it will end up like that." And the "that" is not the only "That" but one of many possibilities that can be done if the logical sequences are constructed differently. A different route, a different destination. (In modern day religious endeavours, different routes, same destination, hopefully.)
So, then, what is truth? How do we know truth?
My proposal to myself is to be learn to think logically first - to be stringent in my logic.
This requires absolute honesty. Polite society calls it bluntness. It is very hard to be bluntly honest in the complex world of networking today. Each person holds a conclusion that is personally meaningful to him or her. It is dangerous to shake their confidence in the truth they hold for themselves. That truth may be proven to them by the beneficial effect that position they hold has on them - even if the logic of that conclusion may be very difficult or impossible to prove - on the basis of existing tools and concepts and understanding.
Completeness of thought requires us to accept that there are conclusions that logic can prove and there are also conclusions that cannot be proved by logic. It is the logic of all possibilities: the propositions and the null propositions.
The totality of things or everything is the truth or the reality. It is the most general theory or view that is the truth of things.
It may be a fool who tries to assimilate this total view, but to me this is absolutely necessary in order to be able to understand where I am today and to accept things as they are and to be able to anticipate where things will go in future and how things will transform from moment to moment.
The nature of each and every thing determines how each will develop as time goes by, by itself. The person who has understood the nature of things knows how each thing will develop and how everything will interact with each other. Laozi calls this the Tao or the Way. Some other clever chap even says "I am the Way."
How I think therefore is very simple and basic. First, learn to think logically. Then after, let the thinking go by itself and think intuitively without boundaries.
The mind will expand and then assimilates all that it sees and perceives. The processing of everything simultaneously and completely requires the mind to be undirected so that it is unprejudiced - and this can be done by letting thoughts disappear. The subsequent realisation is the end-result of that alchemical processing called meditation - the highest of which is a condition called no-mind. (I am reluctant to say "zen" because it is a well-known term that is easily misunderstood.)
Discrete and Continuum
Simple thoughts are usually categorical and boxy. "He is good." "She is bad." But all generalisations are false, including this one (as someone once said).
The reality is that we have everything in each of us - it is just a matter of cultivation and emphasis. But all blankness and all possibilities will be narrowed as we exploit our opportunities and take on a specific direction or path. Statisticians call this reducing "the degree of freedom." I call it "using up one's bullets." E.g. "You have three bullets. You have fired two. What are you going to do with the last one." Or, "you have one bullet, but you have multiple objectives to achieve. How are you going to achieve them all?"
We see the wonderful variety of life on earth and we wonder who create them all. But they may just spring into existence when conditions are right for things to come into being. Furthermore, this is only what we can see. How about those we cannot see - even with a microscope - the wind we create with the move of a hand. The Great One asked, "Where is the light when the flame is gone."
There is further room for thought when we realise that even the things we can see today are only those we can see today. It does not mean that other things did not exist just because we do see them today (dinosaurs). Things we see may just be things that have come to prominence as a result of long process of historical selection or preferences.
There could be a continuum of infinite human types in the male-female combination, including unisex and non-sex and everything in between. It is just a matter of the degree of maleness or femaleness in each of us.
If we extend this perception and think of the human race, we therefore realise a commonality among ourselves the variation of which can only be due to conditioning to external factors. We are all subject to the same kinds of concerns and problems. In the end, everything boils down to the issue of survival.
It is only by being able to think in a more general form can a person reach out and touch the universe. Be at one with the universe. At this point, we follow our hearts. It is only when our hearts are pure that we know truth.