Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.
'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.
Interpretation
What this quote means
The quote emphasizes the importance of objective facts in science, contrasting them with subjective beliefs.
Gottlob Frege's quote underscores the foundational role that objective facts play in the scientific method. He points out that while scientists insist on the necessity of facts for solid scientific inquiry, facts are ultimately determined by what is deemed true, which may not always align with varying human perceptions or interpretations. Thus, recognizing a clear distinction between subjective belief and objective truth is crucial for the integrity of scientific knowledge.
Themes
In practice
Example use cases
In a scientific debate, one might use this quote to emphasize the importance of facts over personal beliefs.
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The modern world lies under a pervasive sense of anguish, of being abandoned, or at least experiencing God as absent. Yet events that seem to turn our lives upside down and inside out are part of God's redemptive plan, not only for us, but for the world in which we live. God may be preparing a great awakening for the world, if God can find enough people to cooperate in this mysterious plan.
From these prejudices there arises conflict, transient joys and suffering. But we are unconscious of this, unconscious that we are slaves to certain forms of tradition, to social and political environment, to false values.
Perhaps a man may commit suicide in self-defense.
Astrology is one of the intuitive methods like the I Ching, geomantics, and other divinatory procedures. It is based upon the synchronicity principle, meaningful coincidence. ... Astrology is a naively projected psychology in which the different attitudes and temperaments of man are represented as gods and identified with planets and zodiacal constellations.
Magicians can do more by means of faith than physicians by the truth.
On each race is laid the duty to keep alight its own lamp of mind as its part in the illumination of the world. To break the lamp of any people into deprive it of its rightful place in the world festival.