Sensitivity

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What is sensitivity? What does it mean? Sensitivity seems like an ultra-sensitive emotional and infinite multi-modal sensing ability for me.

Isn't the sensitivity of a mother for her baby in both directions the archetype for sensitivity? Is it imaginable that any technical apparatus might one day reach the degree of sensitivity that even an average mother of today has for her baby?

But what is the relation between mathematics and sensitivity/senses/sensing?

Sensitivity is one of the most vital characteristics for any mother-baby-relationship and for any effort to improve learning environments for babies.