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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Religion has convinced us that there's something else entirely other than concerns about suffering. There's concerns about what God wants, there's concerns about what's going to happen in the afterlife.
The difference between a Miracle and a Fact is exactly the difference between a mermaid and a seal.
Let us respect others no one lives alone in a city, a nation, or a world.
The great objects which presented themselves [to the Constitutional Convention] ... formed a task more difficult than can be well conceived by those who were not concerned in the execution of it. Adding to these considerations the natural diversity of human opinions on all new and complicated subjects, it is impossible to consider the degree of concord which ultimately prevailed as less than a miracle.
True charity is the desire to be useful to others with no thought of recompense.
Say not, 'I have found the truth,' but rather, 'I have found a truth.' Say not, ' I have found the path of the soul.' Say rather, 'I have met the soul walking upon my path.' For the soul walks upon all paths. The soul walks not upon a line, neither does it grow like a reed. The soul unfolds itself, like a lotus of countless petals.