Intellectuals and Logicians
A scientist knows many forms of science. They know and have more knowledge than a philosopher and logician. They can be equal in knowing as much as an intellectual.
A philosopher tries to understand and make sense of universal concepts such as logical reasoning, knowledge, reality, and mind. A philosopher can help a scientist by providing knowledge about how reality works in combination also mind.
An intellectual has knowledge and wisdom. They know many things and can help people with information they might need. They can help a philosopher and provide extra knowledge.
A logician deals with reasoning and logic. They figure out the validity of any logic/reasoning with set rationale. They can help a philosopher by discussing logic and other relating concepts.
Scientists, philosophers, intellectuals, and logicians can help politicians by giving advice on what would be better based on their knowledge of many things.
A politician is a person with a position of power who represents a societal ideal. A politician can help scientists, philosophers, intellectuals, and logicians by allowing them to share their ideas with them for the betterment of the world.