I hold that space cannot be curved, for the simple reason that it can have no properties. It might as well be said that God has properties. He has not, but only attributes and these are of our own making. Of properties we can only speak when dealing with matter filling the space. To say that in the presence of large bodies space becomes curved is equivalent to stating that something can act upon nothing. I, for one, refuse to subscribe to such a view.
The upshot is that most philosophers of biology now hold that biological properties supervene on physical properties (where supervenience is taken to include some kind of "in virtue of" relation), and that fitness and other biological properties are not identical with physical properties.
Reality manifests itself as constant and objective - independent of us, but as changeable in space and time. Consequently, its reflection in us contains both properties. Mixed up in our mind, these properties are confused and we do not have a proper image of reality.
So for instance it becomes clear why space and time and even the properties of matter itself depend on the observer in consciousness. In fact when you take this point of view it even explains why the laws of the universe themselves are fine tuned for the existence of life.
I think the most important work that is going on has to do with the search for very general and abstract features of what is sometimes called universal grammar: general properties of language that reflect a kind of biological necessity rather than logical necessity; that is, properties of language that are not logically necessary for such a system but which are essential invariant properties of human language and are known without learning. We know these properties but we don't learn them. We simply use our knowledge of these properties as the basis for learning.
The discoveries of the last couple decades are showing that properties of a self do actually inhere in matter, that matter seems to have properties of self-organization and life, even intelligence, consciousness. I can't say that science has proved these things, but it at least suggests the possibility. As we re-invest the world with sacredness, "spiritual" comes to mean something very different. If only a human being has these qualities, then spiritual work is inner. It's all about your own consciousness.
Bodies like the earth are not made to move on curved orbits by a force called gravity; instead, they follow the nearest thing to a straight path in a curved space, which is called a geodesic. A geodesic is the shortest (or longest) path between two nearby points.
Von Neumann languages do not have useful properties for reasoning about programs. Axiomatic and denotational semantics are precise tools for describing and understanding conventional programs, but they only talk about them and cannot alter their ungainly properties. Unlike von Neumann languages, the language of ordinary algebra is suitable both for stating its laws and for transforming an equation into its solution, all within the "language."
We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.
The best and safest way of philosophising seems to be, first to enquire diligently into the properties of things, and to establish those properties by experiences [experiments] and then to proceed slowly to hypotheses for the explanation of them. For hypotheses should be employed only in explaining the properties of things, but not assumed in determining them; unless so far as they may furnish experiments.
The properties of people and the properties of character have almost nothing to do with each other. They really don't. I know it seems like they do because we look alike, but people don't speak in dialogue. Their lives don't unfold in a series of scenes that form a narrative arc.
God in the beginning formed matter in solid, massy, hard, impenetrable, movable particles, of such sizes and figures, and with such other properties, and in such proportion to space, as most conduced to the end for which he formed them.
NBC News found that FEMA has redrawn maps even for properties that have repeatedly filed claims for flood losses from previous storms. At least some of the properties are on the secret 'repetitive loss list' that FEMA sends to communities to alert them to problem properties.
I'm interested in the fact that within science, you're dealing with properties of the real and physical world, and by using those properties you're really getting more in touch with the basis of reality and using that expressively.
In curved Einsteinian space we are at all times, technically, looking at the back of our own head.
The properties of executability and universality associated with programming languages can be combined, in a single language, with the well-known properties of mathematical notation which make it such an effective tool of thought.
Each of us can manifest the properties of a field of consciousness that transcends space, time, and linear causality.