Were Michel de Montaigne and William Shakespeare alive at the same time?
Yes. Michel de Montaigne and William Shakespeare were alive at the same time for 28 years, from 1564 to 1592.
Michel de Montaigne was 31 when William Shakespeare was born.
William Shakespeare was 28 when Michel de Montaigne died, aged 59.
Michel de Montaigne
French author, philosopher, and statesman
Born 28 February 1533 · died 13 September 1592, aged 59
William Shakespeare
English playwright and poet
Born April 1564 · died 23 April 1616 (Julian calendar), aged 51 or 52