When you consider science as the study of the universe, then the sciences are already "unified" in an hierarchy, which has its roots in maths and logic. To illustrate:
In a humanistic context, we have the following:
• Sociology, which depends on...
• Psychology, which depends on...
• Biology, which depends on...
• Chemistry, which depends on...
• Physics (Classical & Quantum), which depends on...
• Maths, which depends on...
• Logic.
In an astronomical context, we have:
• Astronomy & Cosmology, which depend on...
• Physics (Classical & Quantum), which depends on...
• Maths, which depends on...
• Logic.
Science is already unified, even though each field of study within science focuses on its own specialty.
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