Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.
Interpretation
This quote highlights the intertwined nature of mathematics and philosophy, suggesting that each discipline enriches the other.
Gottlob Frege's quote emphasizes the relationship between mathematics and philosophy. He implies that a strong understanding of mathematics requires philosophical thinking, and conversely, effective philosophical inquiry involves mathematical reasoning. This mutual dependence suggests that the two fields are not only complementary but also essential for deeper understanding and intellectual growth.
In practice
In a lecture on the importance of critical thinking, this quote can illustrate how diverse disciplines contribute to a well-rounded education.
'Facts, facts, facts,' cries the scientist if he wants to emphasize the necessity of a firm foundation for science. What is a fact? A fact is a thought that is true. But the scientist will surely not recognize something which depends on men's varying states of mind to be the firm foundation of science.
To live means to experience-through doing, feeling, thinking. Experience takes place in time, so time is the ultimate scarce resource we have. Over the years, the content of experience will determine the quality of life. Therefore one of the most essential decisions any of us can make is about how one's time is allocated or invested.
The sun never knew how great it was until it hit the side of a building.
My view is different from this, only to the extent that if a decision is taken, by the parents and doctors, that it is better that a baby should die, I believe it should be possible to carry out that decision, not only by withholding or withdrawing life-support - which can lead to the baby dying slowly from dehydration or from an infection - but also by taking active steps to end the baby's life swiftly and humanely.
Those wars are unjust which are undertaken without provocation. For only a war waged for revenge or defence can actually be just.
I would simply not compromise on the fundamental rights of people.
We have all been hearing from childhood of such things as love, peace, charity, equality, and universal brotherhood; but they have become to us mere words without meaning, words which we repeat like parrots, and it has become quite natural for us to do so. We cannot help it.
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