Mathematics

[W.D.Clinger]

The link you provided is generally associated with psychology…not physiology.

From the link I provided:

Human neuroimaging studies have demonstrated that regions of the parietal lobe, including the intraparietal sulcus (IPS) and the inferior parietal lobule (IPL) are activated when subjects are asked to perform calculation tasks....The IPS is thought to house the circuitry that is fundamentally involved in numerical estimation (Piazza et al. 2004), number comparison (Pinel et al. 2001; Pinel et al. 2004) and on-line calculation (often tested with subtraction) while the IPL is thought to be involved in overlearned tasks, such as multiplication (see Dehaene 1997). Thus, a patient with a lesion to the IPL may be able to subtract, but not multiply, and vice versa for a patient with a lesion to the IPS. In addition to these parietal regions, regions of the frontal lobe are also active in calculation tasks....Future research will be needed to disentangle the complex influences of language, working memory and attention on numerical processes.

This is still a young area of research, but even the meager results obtained so far are enough to reject one of your central claims:

As I said…quite clearly…so far no one has come anywhere close to identifying an ontological mathematical feature in reality …. or explicitly describing the causal link between any cognitive mathematical event and the physical activity of the brain that produces it.

The claim I highlighted is contradicted by facts stated at the link I provided in my previous message.

No one knows what mathematics ‘is’

Actually, some people know more than other people about what mathematics "is".

Admittedly, some philosophers who talk about what mathematics is do not agree with other philosophers who talk about what mathematics is. The philosophical question seems to be more difficult than the practical questions.

 

[xtifr]

For the record, I, for specific legal reasons having to do with my profession, prefer the term "discovered" when referring to mathematics over the term "invented". Mathematical notations can be invented, but the mathematics themselves (in both my personal and professional opinion) are discovered.