Final answer:
President Eisenhower illustrated how we are playing with fate through his New Look policy in foreign affairs, reliance on nuclear deterrence and brinkmanship, and dedication to reducing military spending.
Step-by-step explanation:
President Eisenhower illustrated the concept of playing with fate in various ways during his presidency. One example is his New Look policy in foreign affairs, where he expanded the nation's nuclear arsenal while preventing the expansion of the defense budget for conventional forces. This strategy relied on nuclear deterrence and the willingness to go to the brink of war to maintain peace, known as brinkmanship. Another example is Eisenhower's handling of the Suez Crisis, where he relied on diplomacy and nuclear deterrence to broker a deal and prevent further escalation.
In addition, Eisenhower believed that excessive military spending could harm the nation's economy and accountability among lawmakers. Despite his military background and reputation, he took a lead in advocating for reductions in military spending, demonstrating his dedication to the nation's economic well-being.