Relational complexity modulates activity in the prefrontal cortex during numerical inductive reasoning: An fMRI study

• Relational complexity may modulate inductive reasoning using numerical materials.
• Increased bilateral DLPFC activity may be responsible for hypothesis generalization.
• Bilateral IPL activity may be involved in the process of calculation.
• Left FPC activity may be related to the processing of relational integration.

Most previous studies investigating relational reasoning have used visuo-spatial materials. This fMRI study aimed to determine how relational complexity affects brain activity during inductive reasoning, using numerical materials. Three numerical relational levels of the number series completion task were adopted for use: 0-relational (e.g., “23 23 23”), 1-relational (“32 30 28”) and 2-relational (“12 13 15”) problems. The fMRI results revealed that the bilateral dorsolateral prefrontal cortex (DLPFC) showed enhanced activity associated with relational complexity. Bilateral inferior parietal lobule (IPL) activity was greater during the 1- and 2-relational level problems than during the 0-relational level problems. In addition, the left fronto-polar cortex (FPC) showed selective activity during the 2-relational level problems. The bilateral DLPFC may be involved in the process of hypothesis generation, whereas the bilateral IPL may be sensitive to calculation demands. Moreover, the sensitivity of the left FPC to the multiple relational problems may be related to the integration of numerical relations. The present study extends our knowledge of the prefrontal activity pattern underlying numerical relational processing.