Husserl never claimed that mathematics could or should be grounded in part-whole rather than set theory.

You would not know, Captain, until you have been a Part-Whole.

The nodes are joined by a variety of links that represent the different relations between concepts such as set membership, set inclusion, part-whole, property attribution, etc.

According to In Fact In terms of etc In turn Logical Connectives: Reasonresult or Part-whole?

Facts and Ideas Heavy Subjects Illustrate v. Account for/Explain In accordance with v. According to Logical Connectives: Reason-result or Part-whole?

Whitehead, John C., Timothy C. Haab, and Ju-Chin Huang, "Part-Whole Bias in Contingent Valuation: Will Scope Effects Be Detected with Inexpensive Survey Methods?"

It is not uncommon for a Work Domain Analysis to yield multiple AH models; each examining the system at a different level of physical detail defined using another model called the Part-Whole Hierarchy (Burns & Hajdukiewicz, 2004).