The Structure of Space and Time, and Physical Indeterminacy

I introduce a sequence which I call 'indefinite': a sequence every element of which has a successor but whose number of elements is bounded; this is no contradiction. I then consider the possibility of space and time being indefinitely divisible. This is theoretically possible and agrees with experience. If this is space and time's structure, then even if the laws of nature are deterministic, the behaviour of physical systems will be probabilistic. This approach may also shed light on directionality in time, a source of the Uncertainty Principle, and the reality of chaos

What does the so-called False Belief Task actually check?

There is currently a theoretical tension between young children’s failure in False Belief Tasks (FBTs) and their success in a variety of other tasks that also seem to require the ability to ascribe false beliefs to agents. We try to explain this tension by the hypothesis that in the FBT, children think they are asked what the agent should do in the circumstances and not what the agent will do. We explain why this hypothesis is plausible. We examined the hypothesis in two experiments, each involving a new task. In the first task, the hypothesised misunderstanding of the question leads to failure without the need to ascribe a false belief, and we show that failure in this new task is correlated with failure in the FBT. In the second task, passing which requires ascribing a false belief to an agent, and for which we have partial yet encouraging results, the children are asked a question which is unlikely to be misunderstood. Children pass this task much more often than they do a standard FBT. The mentioned tension is thus resolved. We conclude that the so-called False Belief Task probably does not check the ability to ascribe false beliefs but rather linguistic development

The Structure of Space and Time, and Physical Indeterminacy

I introduce a sequence which I call indefinite: a sequence every element of which has a successor but whose number of elements is bounded; this is no contradiction. I then consider the possibility of space and time being indefinitely divisible. This is theoretically possible and agrees with experience. If this is space and time’s structure, then even if the laws of nature are deterministic, the behaviour of physical systems will be probabilistic. This approach may also shed light on directionality in time, a source of the Uncertainty Principle, and the reality of chaos

The Checker-shadow “Illusion”?

I introduce some distinctions concerning depiction and show that the checker-shadow phenomenon is not an illusion of the kind it is claimed to be. This might also help to think more clearly about other ‘illusory’ phenomena

Absolute Distant Simultaneity in Special Relativity

What is simultaneous with an event is what can interact with it; events have duration; therefore, any given event has distant events simultaneous with it, even according to Special Relativity. Consequently, the extension of our pre-relativistic judgments of distant simultaneity are largely preserved

Absolute Distant Simultaneity in Special Relativity

What is simultaneous with an event is what can interact with it; events have duration; therefore, any given event has distant events simultaneous with it, even according to Special Relativity. Consequently, the extension of our pre-relativistic judgments of distant simultaneity are largely preserved

Voluntary action and neural causation

I agree with Nachev and Hacker’s general approach. However, their criticism of claims of covert automaticity can be strengthened. I first say a few words on what voluntary action involves and on the consequent limited relevance of brain research for the determination of voluntariness. I then turn to Nachev and Hacker’s discussion of possible covert automaticity and show why the case for it is weaker than they allow