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Could anyone possibly elaborate the difference between these? and whether they could use interchangeably?

Furthermore, which one is used in mathematics, so on?

I am wondering how the term tipping point could be used for marriage of gays.

turning point

tipping point

Any help would be appreciated

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A tipping point is where some force, continuing to act upon something, pushes it to the point where gravity is greater than some counterbalancing force, and the thing (e.g. a glass of wine, a domino, a rickety shed ) falls or "tips" over.

A turning point is when any entity that can act (person, organization, country, etc) is confronted with circumstances that demand a change of plan or a different approach.

They have different connotations.

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Turning point in Math: http://en.wikipedia.org/wiki/Stationary_point

Tipping points in Math: https://www.dur.ac.uk/ihrr/tippingpoints/mathematicaltippingpoints/

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