Our [American] leaders are so socialized as to address militarized threats by acting on the basis of a militarized mentality that the deep roots of problems are ignored.

The British leadership has acknowledged that it only became possible to end the violence in North Ireland when it stopped thinking of the [Irish Republican Army] as "a terrorist organization" and began treating it as a political actor with genuine grievances that deserved to be addressed.

In the current setting the situation of the poor is neglected despite the grotesque wealth of the capitalist elites, and the dangers to the well-being of humanity associated with climate change are ignored despite a strong scientific consensus warning of the adverse, and possibly irreversible, consequences of further delays in reducing the level of greenhouse gas emissions, especially carbon.

We should not rule out the possibility that Trump's diplomacy could deescalate Middle East strife and international tensions, give the US a lower global profile and enable a more balanced world order to emerge, doing most of its damage here at home, through moves to implement his vision of nativist nationalism.

An aggravating feature of this post-9/11 atmosphere is to cast suspicions on Muslims and on Islam as a religion that is interpreted as either inherently violent or death-oriented, with a particular animus against America and Americans.

It would seem to be the case that pressure on Iran to acquire nuclear weapons is almost totally driven by their need for a deterrent capability to avoid the fate of Iraq, Libya. The use of American military force in Syria thus sends exactly the opposite message as supposedly desired to the leadership in Tehran - and to others. North Korea has been dealt with diplomatically because it has the bomb and might use it if provoked.

When I told my son that I had to give a talk about my work to non-mathematicians, he warned me that regular people don't think like mathematicians.