that's why I predefined penguin as a bird. What a bird is is pretty irrelevant (I think).
I was just referring to the relation between ∀ x: P(x) and ∃ x: ¬P(x)
to disprove that all 'x' can fly, we only need to prove that one 'x' can't fly, whether that be birds or e.g. houses. Neither should the definition of flying matter (I think).
No, I don't think so. I think we just see it differently, if anything I think you might know more than I do.
I think I understand how you see it, but I don't see the point in disregarding dichotomies if they need context. Non-banana might sound nonsensical if banana doesn't exist, but what if it is applied to a context? This box contains bananas in contrast to this box doesn't contain bananas.
Yes, we need to define what a box is, and we need to define bananas. But what is the point of saying that that dichotomies don't exist, given the definitions? Maybe a bit off topic, but personally I don't think we can know anything without assuming something.
I agree we cant know anything without assuming something.
Clearly dichotomies do exist...we use them constantly...we can see them and experience them.
In this reality, just about all we see and imagine is known and understood purely in terms of context. Context really is everything. How can anything be truly isolated, separated and understood without comprehending the matrix from which it has developed? Everything is too interconnected to pick out a strand. A single strand has no weight or meaning. Something 'is' in relation, contrast, comparison to something else. Dichotomies are not only useful, but necessary to define and understand concepts in relation to others.
But not everything we see is real, and not everything that is real can be seen. Sometimes dichotomies and 'othering' can shape and cloud our perception to the point where we miss the point, and can only see reality according to our preconceived parameters. Some things defy definition and comparison.
I also know that while there are things that can only be understood in context, or duality, and that there are things that can be understood and known on their own merit, regardless of context or dichotomies. I cant prove this knowledge, it is something that has been personally seen and experienced through intuition, dreams, visions, trances, outer body experience, near death experiences, traumatic experience, drug use, hypnosis, meditation, and physical life. Although I cant provide any concrete proof to the external world, I also know with certainty that if any person were to go 'within' into the deeper layers of consciousness of the mind...they would find the same thing.
But none of this changes the fact that it is easier to say day and night rather than light versus lack of light.
Sometimes the only way we can truly experience and understand something is when we cease analysing, defining, categorising, contextualising, contrasting, and judging. Like how 'empathy' works....when we actually experience another's experience, and be the other person. We don't judge the experience, see it in terms of good or bad...we just 'hold' the other person's perception/experience for a while and then let it go. I think that we can have this 'empathy' with anything and everything. Of course that seems counter intuitive in terms of how we normally engage the world and acquire information. I think its possible to appreciate something on its own merit, and also understand that 'something's' existence in terms of its context in the bigger picture.
For example if we only understand 'ourself' in terms of analysis and description of our traits, behaviours, and patterns of thoughts and beliefs, and in comparison with other people, and norms and criteria established through external culture....we may never actually know and experience ourself. Because the self is fluid and transformative, and has it's own self contained integrity, we fail to understand it when we attempt to restrict and confine it using external constrictions and parameters.....Anyway...im obviously completely off topic now and am descending into a long rambling...so i'll stop here