Transitive inference underpins many human reasoning competencies. The dominant task (the "Extensive-Training-Paradigm") employs many items and large amounts of training, instilling an ordered series in the reasoner's mind. But findings from an alternative "3-Term-Paradigm" suggest transitivity is not present until 7+ years. Interestingly, a second alternative paradigm (the "Spatial-Task"), using simultaneously-displayed height relationships to form premise-pairs, can uphold the 4 year estimate. However, this paradigm risks cuing children and hence is problematic. We investigated whether a height-task variant might correspond to a more ecologically-valid 3-term task. 222 4-6 year-olds either completed a modified height task, including an increased familiarisation phase, or a computer-animated task about cartoon characters running a race in pairs. Findings confirmed both tasks were functionally identical.Crucially, 4 year-olds were at chance on both; whereas 6 year-olds performed competently. These findings contrast with estimates from all three paradigms considered. A theoretical evaluation of our tasks and procedures against previous ones, leads us to 2 conclusions. First, our estimate slightly amends the 7-year estimate offered by the 3-Term-Paradigm, with the difference explained in terms of its greater relevance to child experiences. Second, our estimate can coexist alongside the 4-year estimate from the Extensive-Training-Paradigm. This is because, applying a recently developed "Dual-Process" conception of reasoning, anticipates that extensive-training benefits a species-general Associative System, whilst the Spatial-Paradigm and 3-Term-Paradigm can potentially index a genuinely-Deductive System which has always been the target of transitive research. Deduction allows us to engage in quite complex problem-solving activities, but may sometimes form part of more routine unconscious or automatic thinking (Deneault & Ricard, 2006;Klaczynski, 2009;Muller, Sokol & Overton, 1999). Perhaps one of the most basic forms of deductive inference-making both in adults and in children is Transitive Reasoning (Bara, Bucciarelli & Lombardo, 2000;Halford, Wilson & Phillips, 1998;Lazareva & Wasserman, 2010). A child is said to possess transitive reasoning when he or she can deduce a latent relationship between two items (say A and C), after being given information about the relationship of each of these items to a third item (B) that just happens to be intermediate between the other two in some respect (Lee & Freire, 2003;Rabinowitz, Grant, Howe & Walsh, 1994).Our transitive reasoning capacity is said to be important for acquiring many cognitive concepts (see Krackhardt & Kilduff, 1999). It is also an integral part of children's educational progression, such that "in history class, one has to determine which event or personality preceded another; in geography, altitudes are represented by different colors; in geometry, measurement operations are performed;..." (Artman & Cahan, 1993, pp.753). Transitivity even features i...