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Ashvin's avatar

"This does not necessarily undermine the utility of mathematics in science but suggests caution in assuming that mathematical models provide direct access to the ultimate nature of reality. They may instead offer useful approximations within the constraints of our perceptual and cognitive capacities, useful precisely because there is some degree of resonance between these capacities and the environing cosmic rhythms from out of which they have emerged."

Thanks, and very well said! Pure mathematics is the closest we can get to a 'clean' experience of the spiritual realm through intellectual thinking. In mathematical reasoning/modeling, we find thinking that supports itself and makes its own movements into its object of contemplation, independent of sensory perceptions that normally anchor our intuitive orientation to reality. The mathematical thoughts are determined entirely through their inner relations with one another, which is where we gain the most intuitive certainty about the flow of perceptual experience. This is why all science naturally gravitates toward expressing their theories/models in mathematical format.

This is a prelude to what the ego secretly yearns for but doesn't yet have the inner courage to approach - the wider spiritual world, of which mathematical thinking is only a dequalitative, rigidified, and aliased instance. Hoffman and others would make the most progress when they focus less on the meaning of their mathematical thoughts, which generally point to some 'external' material or spiritual reality, and more on the flow of their real-time mathematical activity. In that way, we can attain to inner experience of the 'network of conscious agents' that we normally can only abstractly imagine is responsible for the "interface" of ordinary perceptual experience.

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E. S. Dallaire's avatar

Do you have any comment on counter-intuitive truths discovered seemingly through non-participatory means/models? Examples would be: that Earth is spherical; that Earth revolves around the sun; that gravity is a curvature in space-time caused by massive objects; that material strata are 99% empty space, etc.? Doesn't this lead to a decoherence between organism and their environment? What would be the motivation for discovering such things, or are they all accidental? The majority of humans ignore these facts of their 'reality' in their day-to-day, but nonetheless, as Galileo reputedly said of the Earth, 'And yet it moves.'

Thanks!

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